Analytic Semigroups And Optimal Regularity In Parabolic Problems

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Analytic Semigroups and Optimal Regularity in Parabolic Problems

Author : Alessandra Lunardi
Publisher : Springer Science & Business Media
ISBN 13 : 3034805578
Total Pages : 437 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Analytic Semigroups and Optimal Regularity in Parabolic Problems by : Alessandra Lunardi

Download or read book Analytic Semigroups and Optimal Regularity in Parabolic Problems written by Alessandra Lunardi and published by Springer Science & Business Media. This book was released on 2012-12-13 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book shows how the abstract methods of analytic semigroups and evolution equations in Banach spaces can be fruitfully applied to the study of parabolic problems. Particular attention is paid to optimal regularity results in linear equations. Furthermore, these results are used to study several other problems, especially fully nonlinear ones. Owing to the new unified approach chosen, known theorems are presented from a novel perspective and new results are derived. The book is self-contained. It is addressed to PhD students and researchers interested in abstract evolution equations and in parabolic partial differential equations and systems. It gives a comprehensive overview on the present state of the art in the field, teaching at the same time how to exploit its basic techniques. - - - This very interesting book provides a systematic treatment of the basic theory of analytic semigroups and abstract parabolic equations in general Banach spaces, and how this theory may be used in the study of parabolic partial differential equations; it takes into account the developments of the theory during the last fifteen years. (...) For instance, optimal regularity results are a typical feature of abstract parabolic equations; they are comprehensively studied in this book, and yield new and old regularity results for parabolic partial differential equations and systems. (Mathematical Reviews) Motivated by applications to fully nonlinear problems the approach is focused on classical solutions with continuous or Hölder continuous derivatives. (Zentralblatt MATH)

Functional Analysis and Evolution Equations

Author : Herbert Amann
Publisher : Springer Science & Business Media
ISBN 13 : 3764377941
Total Pages : 637 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis Functional Analysis and Evolution Equations by : Herbert Amann

Download or read book Functional Analysis and Evolution Equations written by Herbert Amann and published by Springer Science & Business Media. This book was released on 2008-02-28 with total page 637 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gunter Lumer was an outstanding mathematician whose works have great influence on the research community in mathematical analysis and evolution equations. He was at the origin of the breath-taking development the theory of semigroups saw after the pioneering book of Hille and Phillips from 1957. This volume contains invited contributions presenting the state of the art of these topics and reflecting the broad interests of Gunter Lumer.

Recent Developments of Mathematical Fluid Mechanics

Author : Herbert Amann
Publisher : Birkhäuser
ISBN 13 : 3034809395
Total Pages : 482 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Recent Developments of Mathematical Fluid Mechanics by : Herbert Amann

Download or read book Recent Developments of Mathematical Fluid Mechanics written by Herbert Amann and published by Birkhäuser. This book was released on 2016-03-17 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this proceeding is addressed to present recent developments of the mathematical research on the Navier-Stokes equations, the Euler equations and other related equations. In particular, we are interested in such problems as: 1) existence, uniqueness and regularity of weak solutions2) stability and its asymptotic behavior of the rest motion and the steady state3) singularity and blow-up of weak and strong solutions4) vorticity and energy conservation5) fluid motions around the rotating axis or outside of the rotating body6) free boundary problems7) maximal regularity theorem and other abstract theorems for mathematical fluid mechanics.

$\mathcal {R}$-Boundedness, Fourier Multipliers and Problems of Elliptic and Parabolic Type

$Download $\mathcal {R}$-Boundedness, Fourier Multipliers and Problems of Elliptic and Parabolic Type PDF Online Free$

Author : Robert Denk
Publisher : American Mathematical Soc.
ISBN 13 : 0821833782
Total Pages : 130 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis $\mathcal {R}$-Boundedness, Fourier Multipliers and Problems of Elliptic and Parabolic Type by : Robert Denk

Download or read book $\mathcal {R}$-Boundedness, Fourier Multipliers and Problems of Elliptic and Parabolic Type written by Robert Denk and published by American Mathematical Soc.. This book was released on 2003 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: The property of maximal $L_p$-regularity for parabolic evolution equations is investigated via the concept of $\mathcal R$-sectorial operators and operator-valued Fourier multipliers. As application, we consider the $L_q$-realization of an elliptic boundary value problem of order $2m$ with operator-valued coefficients subject to general boundary conditions. We show that there is maximal $L_p$-$L_q$-regularity for the solution of the associated Cauchy problem provided the top order coefficients are bounded and uniformly continuous.

Functional Analytic Methods for Evolution Equations

Author : Giuseppe Da Prato
Publisher : Springer
ISBN 13 : 3540446532
Total Pages : 474 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Functional Analytic Methods for Evolution Equations by : Giuseppe Da Prato

Download or read book Functional Analytic Methods for Evolution Equations written by Giuseppe Da Prato and published by Springer. This book was released on 2004-08-30 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book consists of five introductory contributions by leading mathematicians on the functional analytic treatment of evolutions equations. In particular the contributions deal with Markov semigroups, maximal L^p-regularity, optimal control problems for boundary and point control systems, parabolic moving boundary problems and parabolic nonautonomous evolution equations. The book is addressed to PhD students, young researchers and mathematicians doing research in one of the above topics.

Evolution Equations, Semigroups and Functional Analysis

Author : Brunello Terreni
Publisher : Springer Science & Business Media
ISBN 13 : 9783764367916
Total Pages : 426 pages
Book Rating : 4.3/5 (679 download)

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Book Synopsis Evolution Equations, Semigroups and Functional Analysis by : Brunello Terreni

Download or read book Evolution Equations, Semigroups and Functional Analysis written by Brunello Terreni and published by Springer Science & Business Media. This book was released on 2002 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: Brunello Terreni (1953-2000) was a researcher and teacher with vision and dedication. The present volume is dedicated to the memory of Brunello Terreni. His mathematical interests are reflected in 20 expository articles written by distinguished mathematicians. The unifying theme of the articles is "evolution equations and functional analysis", which is presented in various and diverse forms: parabolic equations, semigroups, stochastic evolution, optimal control, existence, uniqueness and regularity of solutions, inverse problems as well as applications. Contributors: P. Acquistapace, V. Barbu, A. Briani, L. Boccardo, P. Colli Franzone, G. Da Prato, D. Donatelli, A. Favini, M. Fuhrmann, M. Grasselli, R. Illner, H. Koch, R. Labbas, H. Lange, I. Lasiecka, A. Lorenzi, A. Lunardi, P. Marcati, R. Nagel, G. Nickel, V. Pata, M. M. Porzio, B. Ruf, G. Savaré, R. Schnaubelt, E. Sinestrari, H. Tanabe, H. Teismann, E. Terraneo, R. Triggiani, A. Yagi

Evolution Equations, Semigroups and Functional Analysis

Author : Alfredo Lorenzi
Publisher : Birkhäuser
ISBN 13 : 3034882211
Total Pages : 404 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Evolution Equations, Semigroups and Functional Analysis by : Alfredo Lorenzi

Download or read book Evolution Equations, Semigroups and Functional Analysis written by Alfredo Lorenzi and published by Birkhäuser. This book was released on 2012-12-06 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: Brunello Terreni (1953-2000) was a researcher and teacher with vision and dedication. The present volume is dedicated to the memory of Brunello Terreni. His mathematical interests are reflected in 20 expository articles written by distinguished mathematicians. The unifying theme of the articles is "evolution equations and functional analysis", which is presented in various and diverse forms: parabolic equations, semigroups, stochastic evolution, optimal control, existence, uniqueness and regularity of solutions, inverse problems as well as applications. Contributors: P. Acquistapace, V. Barbu, A. Briani, L. Boccardo, P. Colli Franzone, G. Da Prato, D. Donatelli, A. Favini, M. Fuhrmann, M. Grasselli, R. Illner, H. Koch, R. Labbas, H. Lange, I. Lasiecka, A. Lorenzi, A. Lunardi, P. Marcati, R. Nagel, G. Nickel, V. Pata, M. M. Porzio, B. Ruf, G. Savaré, R. Schnaubelt, E. Sinestrari, H. Tanabe, H. Teismann, E. Terraneo, R. Triggiani, A. Yagi.

Parabolic Problems

Author : Joachim Escher
Publisher : Springer Science & Business Media
ISBN 13 : 3034800754
Total Pages : 717 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Parabolic Problems by : Joachim Escher

Download or read book Parabolic Problems written by Joachim Escher and published by Springer Science & Business Media. This book was released on 2011-07-20 with total page 717 pages. Available in PDF, EPUB and Kindle. Book excerpt: The volume originates from the 'Conference on Nonlinear Parabolic Problems' held in celebration of Herbert Amann's 70th birthday at the Banach Center in Bedlewo, Poland. It features a collection of peer-reviewed research papers by recognized experts highlighting recent advances in fields of Herbert Amann's interest such as nonlinear evolution equations, fluid dynamics, quasi-linear parabolic equations and systems, functional analysis, and more.

Global Attractors in Abstract Parabolic Problems

Author : Jan W. Cholewa
Publisher : Cambridge University Press
ISBN 13 : 0521794242
Total Pages : 252 pages
Book Rating : 4.5/5 (217 download)

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Book Synopsis Global Attractors in Abstract Parabolic Problems by : Jan W. Cholewa

Download or read book Global Attractors in Abstract Parabolic Problems written by Jan W. Cholewa and published by Cambridge University Press. This book was released on 2000-08-31 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book investigates the asymptotic behaviour of dynamical systems corresponding to parabolic equations.

Evolution Equations and Their Applications in Physical and Life Sciences

Author : G Lumer
Publisher : CRC Press
ISBN 13 : 1482277484
Total Pages : 532 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Evolution Equations and Their Applications in Physical and Life Sciences by : G Lumer

Download or read book Evolution Equations and Their Applications in Physical and Life Sciences written by G Lumer and published by CRC Press. This book was released on 2019-04-24 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a collection of lectures on linear partial differntial equations and semigroups, nonlinear equations, stochastic evolutionary processes, and evolution problems from physics, engineering and mathematical biology. The contributions come from the 6th International Conference on Evolution Equations and Their Applications in Physica

The Asymptotic Behaviour of Semigroups of Linear Operators

Author : Jan van Neerven
Publisher : Springer Science & Business Media
ISBN 13 : 9783764354558
Total Pages : 268 pages
Book Rating : 4.3/5 (545 download)

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Book Synopsis The Asymptotic Behaviour of Semigroups of Linear Operators by : Jan van Neerven

Download or read book The Asymptotic Behaviour of Semigroups of Linear Operators written by Jan van Neerven and published by Springer Science & Business Media. This book was released on 1996-07-30 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a systematic account of the theory of asymptotic behaviour of semigroups of linear operators acting in a Banach space. The focus is on the relationship between asymptotic behaviour of the semigroup and spectral properties of its infinitesimal generator. The most recent developments in the field are included, such as the Arendt-Batty-Lyubich-Vu theorem, the spectral mapp- ing theorem of Latushkin and Montgomery-Smith, Weis's theorem on stability of positive semigroup in Lp-spaces, the stability theorem for semigroups whose resolvent is bounded in a half-plane, and a systematic theory of individual stability. Addressed to researchers and graduate students with interest in the fields of operator semigroups and evolution equations, this book is self-contained and provides complete proofs.

Moving Interfaces and Quasilinear Parabolic Evolution Equations

Author : Jan Prüss
Publisher : Birkhäuser
ISBN 13 : 3319276980
Total Pages : 609 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Moving Interfaces and Quasilinear Parabolic Evolution Equations by : Jan Prüss

Download or read book Moving Interfaces and Quasilinear Parabolic Evolution Equations written by Jan Prüss and published by Birkhäuser. This book was released on 2016-07-25 with total page 609 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this monograph, the authors develop a comprehensive approach for the mathematical analysis of a wide array of problems involving moving interfaces. It includes an in-depth study of abstract quasilinear parabolic evolution equations, elliptic and parabolic boundary value problems, transmission problems, one- and two-phase Stokes problems, and the equations of incompressible viscous one- and two-phase fluid flows. The theory of maximal regularity, an essential element, is also fully developed. The authors present a modern approach based on powerful tools in classical analysis, functional analysis, and vector-valued harmonic analysis. The theory is applied to problems in two-phase fluid dynamics and phase transitions, one-phase generalized Newtonian fluids, nematic liquid crystal flows, Maxwell-Stefan diffusion, and a variety of geometric evolution equations. The book also includes a discussion of the underlying physical and thermodynamic principles governing the equations of fluid flows and phase transitions, and an exposition of the geometry of moving hypersurfaces.

Operator Semigroups Meet Complex Analysis, Harmonic Analysis and Mathematical Physics

Author : Wolfgang Arendt
Publisher : Birkhäuser
ISBN 13 : 3319184946
Total Pages : 496 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Operator Semigroups Meet Complex Analysis, Harmonic Analysis and Mathematical Physics by : Wolfgang Arendt

Download or read book Operator Semigroups Meet Complex Analysis, Harmonic Analysis and Mathematical Physics written by Wolfgang Arendt and published by Birkhäuser. This book was released on 2015-12-10 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings volume originates from a conference held in Herrnhut in June 2013. It provides unique insights into the power of abstract methods and techniques in dealing successfully with numerous applications stemming from classical analysis and mathematical physics. The book features diverse topics in the area of operator semigroups, including partial differential equations, martingale and Hilbert transforms, Banach and von Neumann algebras, Schrödinger operators, maximal regularity and Fourier multipliers, interpolation, operator-theoretical problems (concerning generation, perturbation and dilation, for example), and various qualitative and quantitative Tauberian theorems with a focus on transfinite induction and magics of Cantor. The last fifteen years have seen the dawn of a new era for semigroup theory with the emphasis on applications of abstract results, often unexpected and far removed from traditional ones. The aim of the conference was to bring together prominent experts in the field of modern semigroup theory, harmonic analysis, complex analysis and mathematical physics, and to present the lively interactions between all of those areas and beyond. In addition, the meeting honored the sixtieth anniversary of Prof C. J. K. Batty, whose scientific achievements are an impressive illustration of the conference goal. These proceedings present contributions by prominent scientists at this international conference, which became a landmark event. They will be a valuable and inspiring source of information for graduate students and established researchers.

Analytical Methods for Kolmogorov Equations

Author : Luca Lorenzi
Publisher : CRC Press
ISBN 13 : 1482243342
Total Pages : 607 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Analytical Methods for Kolmogorov Equations by : Luca Lorenzi

Download or read book Analytical Methods for Kolmogorov Equations written by Luca Lorenzi and published by CRC Press. This book was released on 2016-10-04 with total page 607 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second edition of this book has a new title that more accurately reflects the table of contents. Over the past few years, many new results have been proven in the field of partial differential equations. This edition takes those new results into account, in particular the study of nonautonomous operators with unbounded coefficients, which has received great attention. Additionally, this edition is the first to use a unified approach to contain the new results in a singular place.

Computation and Applied Mathematics

Author :
Publisher :
ISBN 13 :
Total Pages : 124 pages
Book Rating : 4./5 ( download)

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Book Synopsis Computation and Applied Mathematics by :

Download or read book Computation and Applied Mathematics written by and published by . This book was released on 1995 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Evolution Equations: Applications to Physics, Industry, Life Sciences and Economics

Author : Mimmo Iannelli
Publisher : Birkhäuser
ISBN 13 : 3034880855
Total Pages : 419 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Evolution Equations: Applications to Physics, Industry, Life Sciences and Economics by : Mimmo Iannelli

Download or read book Evolution Equations: Applications to Physics, Industry, Life Sciences and Economics written by Mimmo Iannelli and published by Birkhäuser. This book was released on 2012-12-06 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: The international conference on which the book is based brought together many of the world's leading experts, with particular effort on the interaction between established scientists and emerging young promising researchers, as well as on the interaction of pure and applied mathematics. All material has been rigorously refereed. The contributions contain much material developed after the conference, continuing research and incorporating additional new results and improvements. In addition, some up-to-date surveys are included.

Current Research in Nonlinear Analysis

Author : Themistocles M. Rassias
Publisher : Springer
ISBN 13 : 3319898000
Total Pages : 360 pages
Book Rating : 4.3/5 (198 download)

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Book Synopsis Current Research in Nonlinear Analysis by : Themistocles M. Rassias

Download or read book Current Research in Nonlinear Analysis written by Themistocles M. Rassias and published by Springer. This book was released on 2018-06-18 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: Current research and applications in nonlinear analysis influenced by Haim Brezis and Louis Nirenberg are presented in this book by leading mathematicians. Each contribution aims to broaden reader’s understanding of theories, methods, and techniques utilized to solve significant problems. Topics include: Sobolev Spaces Maximal monotone operators A theorem of Brezis-Nirenberg Operator-norm convergence of the Trotter product formula Elliptic operators with infinitely many variables Pseudo-and quasiconvexities for nonsmooth function Anisotropic surface measures Eulerian and Lagrangian variables Multiple periodic solutions of Lagrangian systems Porous medium equation Nondiscrete Lassonde-Revalski principle Graduate students and researchers in mathematics, physics, engineering, and economics will find this book a useful reference for new techniques and research areas. Haim Brezis and Louis Nirenberg’s fundamental research in nonlinear functional analysis and nonlinear partial differential equations along with their years of teaching and training students have had a notable impact in the field.