New Prospects In Direct Inverse And Control Problems For Evolution Equations

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New Prospects in Direct, Inverse and Control Problems for Evolution Equations

Author : Angelo Favini
Publisher : Springer
ISBN 13 : 3319114069
Total Pages : 471 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis New Prospects in Direct, Inverse and Control Problems for Evolution Equations by : Angelo Favini

Download or read book New Prospects in Direct, Inverse and Control Problems for Evolution Equations written by Angelo Favini and published by Springer. This book was released on 2014-11-27 with total page 471 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, based on a selection of talks given at a dedicated meeting in Cortona, Italy, in June 2013, shows the high degree of interaction between a number of fields related to applied sciences. Applied sciences consider situations in which the evolution of a given system over time is observed, and the related models can be formulated in terms of evolution equations (EEs). These equations have been studied intensively in theoretical research and are the source of an enormous number of applications. In this volume, particular attention is given to direct, inverse and control problems for EEs. The book provides an updated overview of the field, revealing its richness and vitality.

Deterministic and Stochastic Optimal Control and Inverse Problems

Author : Baasansuren Jadamba
Publisher : CRC Press
ISBN 13 : 1000511758
Total Pages : 378 pages
Book Rating : 4.0/5 (5 download)

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Book Synopsis Deterministic and Stochastic Optimal Control and Inverse Problems by : Baasansuren Jadamba

Download or read book Deterministic and Stochastic Optimal Control and Inverse Problems written by Baasansuren Jadamba and published by CRC Press. This book was released on 2021-12-15 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inverse problems of identifying parameters and initial/boundary conditions in deterministic and stochastic partial differential equations constitute a vibrant and emerging research area that has found numerous applications. A related problem of paramount importance is the optimal control problem for stochastic differential equations. This edited volume comprises invited contributions from world-renowned researchers in the subject of control and inverse problems. There are several contributions on optimal control and inverse problems covering different aspects of the theory, numerical methods, and applications. Besides a unified presentation of the most recent and relevant developments, this volume also presents some survey articles to make the material self-contained. To maintain the highest level of scientific quality, all manuscripts have been thoroughly reviewed.

Solvability, Regularity, and Optimal Control of Boundary Value Problems for PDEs

Author : Pierluigi Colli
Publisher : Springer
ISBN 13 : 3319644890
Total Pages : 571 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Solvability, Regularity, and Optimal Control of Boundary Value Problems for PDEs by : Pierluigi Colli

Download or read book Solvability, Regularity, and Optimal Control of Boundary Value Problems for PDEs written by Pierluigi Colli and published by Springer. This book was released on 2017-11-03 with total page 571 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume gathers contributions in the field of partial differential equations, with a focus on mathematical models in phase transitions, complex fluids and thermomechanics. These contributions are dedicated to Professor Gianni Gilardi on the occasion of his 70th birthday. It particularly develops the following thematic areas: nonlinear dynamic and stationary equations; well-posedness of initial and boundary value problems for systems of PDEs; regularity properties for the solutions; optimal control problems and optimality conditions; feedback stabilization and stability results. Most of the articles are presented in a self-contained manner, and describe new achievements and/or the state of the art in their line of research, providing interested readers with an overview of recent advances and future research directions in PDEs.

Inverse Problems and Related Topics

Author : Jin Cheng
Publisher : Springer Nature
ISBN 13 : 9811515921
Total Pages : 310 pages
Book Rating : 4.8/5 (115 download)

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Book Synopsis Inverse Problems and Related Topics by : Jin Cheng

Download or read book Inverse Problems and Related Topics written by Jin Cheng and published by Springer Nature. This book was released on 2020-02-04 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains 13 chapters, which are extended versions of the presentations at International Conference on Inverse Problems at Fudan University, Shanghai, China, October 12-14, 2018, in honor of Masahiro Yamamoto on the occasion of his 60th anniversary. The chapters are authored by world-renowned researchers and rising young talents, and are updated accounts of various aspects of the researches on inverse problems. The volume covers theories of inverse problems for partial differential equations, regularization methods, and related topics from control theory. This book addresses a wide audience of researchers and young post-docs and graduate students who are interested in mathematical sciences as well as mathematics.

Recent Advances in Mathematical Analysis

Author : Anna Maria Candela
Publisher : Springer Nature
ISBN 13 : 3031200217
Total Pages : 470 pages
Book Rating : 4.0/5 (312 download)

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Book Synopsis Recent Advances in Mathematical Analysis by : Anna Maria Candela

Download or read book Recent Advances in Mathematical Analysis written by Anna Maria Candela and published by Springer Nature. This book was released on 2023-06-21 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects selected peer reviewed papers on the topics of Nonlinear Analysis, Functional Analysis, (Korovkin-Type) Approximation Theory, and Partial Differential Equations. The aim of the volume is, in fact, to promote the connection among those different fields in Mathematical Analysis. The book celebrates Francesco Altomare, on the occasion of his 70th anniversary.

Delay Differential Evolutions Subjected to Nonlocal Initial Conditions

Author : Monica-Dana Burlică
Publisher : CRC Press
ISBN 13 : 1315351684
Total Pages : 322 pages
Book Rating : 4.3/5 (153 download)

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Book Synopsis Delay Differential Evolutions Subjected to Nonlocal Initial Conditions by : Monica-Dana Burlică

Download or read book Delay Differential Evolutions Subjected to Nonlocal Initial Conditions written by Monica-Dana Burlică and published by CRC Press. This book was released on 2018-09-03 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: Filling a gap in the literature, Delay Differential Evolutions Subjected to Nonlocal Initial Conditions reveals important results on ordinary differential equations (ODEs) and partial differential equations (PDEs). It presents very recent results relating to the existence, boundedness, regularity, and asymptotic behavior of global solutions for differential equations and inclusions, with or without delay, subjected to nonlocal implicit initial conditions. After preliminaries on nonlinear evolution equations governed by dissipative operators, the book gives a thorough study of the existence, uniqueness, and asymptotic behavior of global bounded solutions for differential equations with delay and local initial conditions. It then focuses on two important nonlocal cases: autonomous and quasi-autonomous. The authors next discuss sufficient conditions for the existence of almost periodic solutions, describe evolution systems with delay and nonlocal initial conditions, examine delay evolution inclusions, and extend some results to the multivalued case of reaction-diffusion systems. The book concludes with results on viability for nonlocal evolution inclusions.

Stochastic Cauchy Problems in Infinite Dimensions

Author : Irina V. Melnikova
Publisher : CRC Press
ISBN 13 : 1498785859
Total Pages : 286 pages
Book Rating : 4.4/5 (987 download)

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Book Synopsis Stochastic Cauchy Problems in Infinite Dimensions by : Irina V. Melnikova

Download or read book Stochastic Cauchy Problems in Infinite Dimensions written by Irina V. Melnikova and published by CRC Press. This book was released on 2016-04-27 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stochastic Cauchy Problems in Infinite Dimensions: Generalized and Regularized Solutions presents stochastic differential equations for random processes with values in Hilbert spaces. Accessible to non-specialists, the book explores how modern semi-group and distribution methods relate to the methods of infinite-dimensional stochastic analysis. It also shows how the idea of regularization in a broad sense pervades all these methods and is useful for numerical realization and applications of the theory. The book presents generalized solutions to the Cauchy problem in its initial form with white noise processes in spaces of distributions. It also covers the "classical" approach to stochastic problems involving the solution of corresponding integral equations. The first part of the text gives a self-contained introduction to modern semi-group and abstract distribution methods for solving the homogeneous (deterministic) Cauchy problem. In the second part, the author solves stochastic problems using semi-group and distribution methods as well as the methods of infinite-dimensional stochastic analysis.

Differential Equations

Author : Angelo Favini
Publisher : CRC Press
ISBN 13 : 9781420011135
Total Pages : 304 pages
Book Rating : 4.0/5 (111 download)

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Book Synopsis Differential Equations by : Angelo Favini

Download or read book Differential Equations written by Angelo Favini and published by CRC Press. This book was released on 2006-06-09 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: With contributions from some of the leading authorities in the field, the work in Differential Equations: Inverse and Direct Problems stimulates the preparation of new research results and offers exciting possibilities not only in the future of mathematics but also in physics, engineering, superconductivity in special materials, and other scientific fields. Exploring the hypotheses and numerical approaches that relate to pure and applied mathematics, this collection of research papers and surveys extends the theories and methods of differential equations. The book begins with discussions on Banach spaces, linear and nonlinear theory of semigroups, integrodifferential equations, the physical interpretation of general Wentzell boundary conditions, and unconditional martingale difference (UMD) spaces. It then proceeds to deal with models in superconductivity, hyperbolic partial differential equations (PDEs), blowup of solutions, reaction-diffusion equation with memory, and Navier-Stokes equations. The volume concludes with analyses on Fourier-Laplace multipliers, gradient estimates for Dirichlet parabolic problems, a nonlinear system of PDEs, and the complex Ginzburg-Landau equation. By combining direct and inverse problems into one book, this compilation is a useful reference for those working in the world of pure or applied mathematics.

Inverse Problems for Kinetic and Other Evolution Equations

Author : Yu. E. Anikonov
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110940906
Total Pages : 280 pages
Book Rating : 4.1/5 (19 download)

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Book Synopsis Inverse Problems for Kinetic and Other Evolution Equations by : Yu. E. Anikonov

Download or read book Inverse Problems for Kinetic and Other Evolution Equations written by Yu. E. Anikonov and published by Walter de Gruyter GmbH & Co KG. This book was released on 2014-07-24 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph deals with methods of studying multidimensional inverse problems for kinetic and other evolution equations, in particular transfer equations. The methods used are applied to concrete inverse problems, especially multidimensional inverse problems applicable in linear and nonlinear statements. A significant part of the book contains formulas and relations for solving inverse problems, including formulas for the solution and coefficients of kinetic equations, differential-difference equations, nonlinear evolution equations, and second order equations.

SPDE in Hydrodynamics: Recent Progress and Prospects

Author : Sergio Albeverio
Publisher : Springer Science & Business Media
ISBN 13 : 3540784926
Total Pages : 183 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis SPDE in Hydrodynamics: Recent Progress and Prospects by : Sergio Albeverio

Download or read book SPDE in Hydrodynamics: Recent Progress and Prospects written by Sergio Albeverio and published by Springer Science & Business Media. This book was released on 2008-04-14 with total page 183 pages. Available in PDF, EPUB and Kindle. Book excerpt: Of the three lecture courses making up the CIME summer school on Fluid Dynamics at Cetraro in 2005 reflected in this volume, the first, due to Sergio Albeverio describes deterministic and stochastic models of hydrodynamics. In the second course, Franco Flandoli starts from 3D Navier-Stokes equations and ends with turbulence. Finally, Yakov Sinai, in the 3rd course, describes some rigorous mathematical results for multidimensional Navier-Stokes systems and some recent results on the one-dimensional Burgers equation with random forcing.

Functional Approach to Nonlinear Models of Water Flow in Soils

Author : G. Marinoschi
Publisher : Springer Science & Business Media
ISBN 13 : 1402048807
Total Pages : 313 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Functional Approach to Nonlinear Models of Water Flow in Soils by : G. Marinoschi

Download or read book Functional Approach to Nonlinear Models of Water Flow in Soils written by G. Marinoschi and published by Springer Science & Business Media. This book was released on 2006-09-05 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work of applied mathematics focuses on the functional study of the nonlinear boundary value problems relating to water flow in porous media, a topic which has not up to now been explored in book form. The author shows that abstract theory may be sometimes easier and richer in consequences for applications than standard classical approaches are. The volume deals with diffusion type models, emphasizing the mathematical treatment of their nonlinear aspects.

Control of Degenerate and Singular Parabolic Equations

Author : Genni Fragnelli
Publisher : Springer Nature
ISBN 13 : 303069349X
Total Pages : 105 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Control of Degenerate and Singular Parabolic Equations by : Genni Fragnelli

Download or read book Control of Degenerate and Singular Parabolic Equations written by Genni Fragnelli and published by Springer Nature. This book was released on 2021-04-06 with total page 105 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects some basic results on the null controllability for degenerate and singular parabolic problems. It aims to provide postgraduate students and senior researchers with a useful text, where they can find the desired statements and the related bibliography. For these reasons, the authors will not give all the detailed proofs of the given theorems, but just some of them, in order to show the underlying strategy in this area.

Inverse Problems and Imaging

Author : Luis L. Bonilla
Publisher : Springer
ISBN 13 : 3540785477
Total Pages : 200 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Inverse Problems and Imaging by : Luis L. Bonilla

Download or read book Inverse Problems and Imaging written by Luis L. Bonilla and published by Springer. This book was released on 2009-06-19 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nowadays we are facing numerous and important imaging problems: nondestructive testing of materials, monitoring of industrial processes, enhancement of oil production by efficient reservoir characterization, emerging developments in noninvasive imaging techniques for medical purposes - computerized tomography (CT), magnetic resonance imaging (MRI), positron emission tomography (PET), X-ray and ultrasound tomography, etc. In the CIME Summer School on Imaging (Martina Franca, Italy 2002), leading experts in mathematical techniques and applications presented broad and useful introductions for non-experts and practitioners alike to many aspects of this exciting field. The volume contains part of the above lectures completed and updated by additional contributions on other related topics.

Nonlinear and Optimal Control Theory

Author : Andrei A. Agrachev
Publisher : Springer
ISBN 13 : 3540776532
Total Pages : 360 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Nonlinear and Optimal Control Theory by : Andrei A. Agrachev

Download or read book Nonlinear and Optimal Control Theory written by Andrei A. Agrachev and published by Springer. This book was released on 2008-06-24 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: The lectures gathered in this volume present some of the different aspects of Mathematical Control Theory. Adopting the point of view of Geometric Control Theory and of Nonlinear Control Theory, the lectures focus on some aspects of the Optimization and Control of nonlinear, not necessarily smooth, dynamical systems. Specifically, three of the five lectures discuss respectively: logic-based switching control, sliding mode control and the input to the state stability paradigm for the control and stability of nonlinear systems. The remaining two lectures are devoted to Optimal Control: one investigates the connections between Optimal Control Theory, Dynamical Systems and Differential Geometry, while the second presents a very general version, in a non-smooth context, of the Pontryagin Maximum Principle. The arguments of the whole volume are self-contained and are directed to everyone working in Control Theory. They offer a sound presentation of the methods employed in the control and optimization of nonlinear dynamical systems.

Nonlinear and Optimal Control Theory

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 3540776443
Total Pages : 368 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Nonlinear and Optimal Control Theory by :

Download or read book Nonlinear and Optimal Control Theory written by and published by Springer Science & Business Media. This book was released on 2008 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Semigroups of Operators – Theory and Applications

Author : Jacek Banasiak
Publisher : Springer Nature
ISBN 13 : 3030460797
Total Pages : 446 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Semigroups of Operators – Theory and Applications by : Jacek Banasiak

Download or read book Semigroups of Operators – Theory and Applications written by Jacek Banasiak and published by Springer Nature. This book was released on 2020-06-12 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book features selected and peer-reviewed lectures presented at the 3rd Semigroups of Operators: Theory and Applications Conference, held in Kazimierz Dolny, Poland, in October 2018 to mark the 85th birthday of Jan Kisyński. Held every five years, the conference offers a forum for mathematicians using semigroup theory to discover what is happening outside their particular field of research and helps establish new links between various sub-disciplines of semigroup theory, stochastic processes, differential equations and the applied fields. The book is intended for researchers, postgraduate and senior students working in operator theory, partial differential equations, probability and stochastic processes, analytical methods in biology and other natural sciences, optimisation and optimal control. The theory of semigroups of operators is a well-developed branch of functional analysis. Its foundations were laid at the beginning of the 20th century, while Hille and Yosida’s fundamental generation theorem dates back to the forties. The theory was originally designed as a universal language for partial differential equations and stochastic processes but, at the same time, it started to become an independent branch of operator theory. Today, it still has the same distinctive character: it develops rapidly by posing new ‘internal’ questions and, in answering them, discovering new methods that can be used in applications. On the other hand, it is being influenced by questions from PDE’s and stochastic processes as well as from applied sciences such as mathematical biology and optimal control and, as a result, it continually gathers new momentum. However, many results, both from semigroup theory itself and the applied sciences, are phrased in discipline-specific languages and are hardly known to the broader community.

Multiscale Problems in the Life Sciences

Author : Jacek Banasiak
Publisher : Springer Science & Business Media
ISBN 13 : 3540783601
Total Pages : 341 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Multiscale Problems in the Life Sciences by : Jacek Banasiak

Download or read book Multiscale Problems in the Life Sciences written by Jacek Banasiak and published by Springer Science & Business Media. This book was released on 2008-05-30 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this volume that presents lectures given at a joint CIME and Banach Center Summer School, is to offer a broad presentation of a class of updated methods providing a mathematical framework for the development of a hierarchy of models of complex systems in the natural sciences, with a special attention to biology and medicine. Mastering complexity implies sharing different tools requiring much higher level of communication between different mathematical and scientific schools, for solving classes of problems of the same nature. Today more than ever, one of the most important challenges derives from the need to bridge parts of a system evolving at different time and space scales, especially with respect to computational affordability. As a result the content has a rather general character; the main role is played by stochastic processes, positive semigroups, asymptotic analysis, kinetic theory, continuum theory, and game theory.