Abstract Evolution Equations, Periodic Problems and Applications

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Publisher : Chapman and Hall/CRC
ISBN 13 :
Total Pages : 268 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Abstract Evolution Equations, Periodic Problems and Applications by : D Daners

Download or read book Abstract Evolution Equations, Periodic Problems and Applications written by D Daners and published by Chapman and Hall/CRC. This book was released on 1992-12-29 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: Part of the Pitman Research Notes in Mathematics series, this text covers: linear evolution equations of parabolic type; semilinear evolution equations of parabolic type; evolution equations and positivity; semilinear periodic evolution equations; and applications.

Semilinear Evolution Equations and Their Applications

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Publisher : Springer
ISBN 13 : 303000449X
Total Pages : 199 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Semilinear Evolution Equations and Their Applications by : Toka Diagana

Download or read book Semilinear Evolution Equations and Their Applications written by Toka Diagana and published by Springer. This book was released on 2018-10-23 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, which is a continuation of Almost Automorphic Type and Almost Periodic Type Functions in Abstract Spaces, presents recent trends and developments upon fractional, first, and second order semilinear difference and differential equations, including degenerate ones. Various stability, uniqueness, and existence results are established using various tools from nonlinear functional analysis and operator theory (such as semigroup methods). Various applications to partial differential equations and the dynamic of populations are amply discussed. This self-contained volume is primarily intended for advanced undergraduate and graduate students, post-graduates and researchers, but may also be of interest to non-mathematicians such as physicists and theoretically oriented engineers. It can also be used as a graduate text on evolution equations and difference equations and their applications to partial differential equations and practical problems arising in population dynamics. For completeness, detailed preliminary background on Banach and Hilbert spaces, operator theory, semigroups of operators, and almost periodic functions and their spectral theory are included as well.

Functional Analytic Methods for Evolution Equations

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540230304
Total Pages : 486 pages
Book Rating : 4.2/5 (33 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 Science & Business Media. This book was released on 2004-09-22 with total page 486 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.

Recent Developments in Evolution Equations

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Publisher : CRC Press
ISBN 13 : 9780582246690
Total Pages : 268 pages
Book Rating : 4.2/5 (466 download)

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Book Synopsis Recent Developments in Evolution Equations by : G F Roach

Download or read book Recent Developments in Evolution Equations written by G F Roach and published by CRC Press. This book was released on 1995-04-28 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the majority of talks given at an International Converence held recently at the University of Strathclyde in Glasgow. The works presented focus on the analysis of mathematical models of systems evolving with time. The main topics are semigroups and related subjects connected with applications to partial differential equations of evolution type. Topics of particular interest include spectral and asymptotic properties of semigroups, B evolution scattering theory, and coagulation fragmentation phenomena.

Evolution Equations, Semigroups and Functional Analysis

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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

Topics in Pseudo-DIfferential Operators

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Publisher : CRC Press
ISBN 13 : 9780582277823
Total Pages : 132 pages
Book Rating : 4.2/5 (778 download)

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Book Synopsis Topics in Pseudo-DIfferential Operators by : S D Zaidman

Download or read book Topics in Pseudo-DIfferential Operators written by S D Zaidman and published by CRC Press. This book was released on 1996-10-29 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Research Note presents in a clear and detailed manner a certain group of results pertaining to some variants, extensions and generalizations on the theory of pseudo-differential operators as introduced in the pioneering work of Kohn-Nirenberg. The author presents a discussion of concepts of order, true order and asymptotic expansions for general linear operators in some vector spaces, following a pattern appearing in pseudo-differential operator theory. The book is intended mainly for an audience of operator theorists, at a fairly elementary level; its main objective a unitary presentation of articles written by the author over a number of years.

Dynamics of Nonlinear Waves in Dissipative Systems Reduction, Bifurcation and Stability

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Publisher : CRC Press
ISBN 13 : 9780582229297
Total Pages : 292 pages
Book Rating : 4.2/5 (292 download)

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Book Synopsis Dynamics of Nonlinear Waves in Dissipative Systems Reduction, Bifurcation and Stability by : G Dangelmayr

Download or read book Dynamics of Nonlinear Waves in Dissipative Systems Reduction, Bifurcation and Stability written by G Dangelmayr and published by CRC Press. This book was released on 1996-08-01 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: The mathematical description of complex spatiotemporal behaviour observed in dissipative continuous systems is a major challenge for modern research in applied mathematics. While the behaviour of low-dimensional systems, governed by the dynamics of a finite number of modes is well understood, systems with large or unbounded spatial domains show intrinsic infinite-dimensional behaviour --not a priori accessible to the methods of finite dimensionaldynamical systems. The purpose of the four contributions in this book is to present some recent and active lines of research in evolution equations posed in large or unbounded domains. One of the most prominent features of these systems is the propagation of various types of patterns in the form of waves, such as travelling and standing waves and pulses and fronts. Different approaches to studying these kinds of phenomena are discussed in the book. A major theme is the reduction of an original evolution equation in the form of a partial differential equation system to a simpler system of equations, either a system of ordinary differential equation or a canonical system of PDEs. The study of the reduced equations provides insight into the bifurcations from simple to more complicated solutions and their stabilities. .

Computational Methods for Fluid-Structure Interaction

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Publisher : CRC Press
ISBN 13 : 9780582236912
Total Pages : 302 pages
Book Rating : 4.2/5 (369 download)

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Book Synopsis Computational Methods for Fluid-Structure Interaction by : Jean-Marie Crolet

Download or read book Computational Methods for Fluid-Structure Interaction written by Jean-Marie Crolet and published by CRC Press. This book was released on 1994-04-05 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fluid-structure interaction is a new theme of investigation in computational methods, covering many applications in both engineering and medical sciences. This book deals with various examples of interaction between a fluid and a structure, and each author presents, for the different problems involved, the method which is considered to be the most appropriate.

Random Geometrically Graph Directed Self-Similar Multifractals

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Publisher : CRC Press
ISBN 13 : 1351419870
Total Pages : 262 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Random Geometrically Graph Directed Self-Similar Multifractals by : Lars Olsen

Download or read book Random Geometrically Graph Directed Self-Similar Multifractals written by Lars Olsen and published by CRC Press. This book was released on 2017-07-12 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multifractal theory was introduced by theoretical physicists in 1986. Since then, multifractals have increasingly been studied by mathematicians. This new work presents the latest research on random results on random multifractals and the physical thermodynamical interpretation of these results. As the amount of work in this area increases, Lars Olsen presents a unifying approach to current multifractal theory. Featuring high quality, original research material, this important new book fills a gap in the current literature available, providing a rigorous mathematical treatment of multifractal measures.

Extending Modules

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Publisher : Routledge
ISBN 13 : 1351449087
Total Pages : 252 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Extending Modules by : Nguyen Viet Dung

Download or read book Extending Modules written by Nguyen Viet Dung and published by Routledge. This book was released on 2019-01-22 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: Module theory is an important tool for many different branches of mathematics, as well as being an interesting subject in its own right. Within module theory, the concept of injective modules is particularly important. Extending modules form a natural class of modules which is more general than the class of injective modules but retains many of its

Elliptic Operators, Topology, and Asymptotic Methods, Second Edition

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Publisher : CRC Press
ISBN 13 : 9780582325029
Total Pages : 222 pages
Book Rating : 4.3/5 (25 download)

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Book Synopsis Elliptic Operators, Topology, and Asymptotic Methods, Second Edition by : John Roe

Download or read book Elliptic Operators, Topology, and Asymptotic Methods, Second Edition written by John Roe and published by CRC Press. This book was released on 1999-01-06 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ten years after publication of the popular first edition of this volume, the index theorem continues to stand as a central result of modern mathematics-one of the most important foci for the interaction of topology, geometry, and analysis. Retaining its concise presentation but offering streamlined analyses and expanded coverage of important examples and applications, Elliptic Operators, Topology, and Asymptotic Methods, Second Edition introduces the ideas surrounding the heat equation proof of the Atiyah-Singer index theorem. The author builds towards proof of the Lefschetz formula and the full index theorem with four chapters of geometry, five chapters of analysis, and four chapters of topology. The topics addressed include Hodge theory, Weyl's theorem on the distribution of the eigenvalues of the Laplacian, the asymptotic expansion for the heat kernel, and the index theorem for Dirac-type operators using Getzler's direct method. As a "dessert," the final two chapters offer discussion of Witten's analytic approach to the Morse inequalities and the L2-index theorem of Atiyah for Galois coverings. The text assumes some background in differential geometry and functional analysis. With the partial differential equation theory developed within the text and the exercises in each chapter, Elliptic Operators, Topology, and Asymptotic Methods becomes the ideal vehicle for self-study or coursework. Mathematicians, researchers, and physicists working with index theory or supersymmetry will find it a concise but wide-ranging introduction to this important and intriguing field.

Numerical Analysis 1993

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Publisher : CRC Press
ISBN 13 : 1000115259
Total Pages : 290 pages
Book Rating : 4.0/5 (1 download)

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Book Synopsis Numerical Analysis 1993 by : D.F. Griffiths

Download or read book Numerical Analysis 1993 written by D.F. Griffiths and published by CRC Press. This book was released on 2020-10-07 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains invited papers presented at the 15th Dundee Biennial Conference on Numerical Analysis held at the University of Dundee in June of 1993. The Dundee Conferences are important events in the numerical analysis calendar, and the papers published here represent accounts of recent research work by leading numerical analysts covering a wide range of fields of interest. The book is a valuable guide to the direction of current research in many areas of numerical analysis. It will be of particular interest to graduate students and research workers concerned with the theory and application of numerical methods for solving ordinary and partial differential equations.

Progress in Theoretical and Computational Fluid Mechanics

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Publisher : CRC Press
ISBN 13 : 9780582244665
Total Pages : 186 pages
Book Rating : 4.2/5 (446 download)

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Book Synopsis Progress in Theoretical and Computational Fluid Mechanics by : G P Galdi

Download or read book Progress in Theoretical and Computational Fluid Mechanics written by G P Galdi and published by CRC Press. This book was released on 1994-05-18 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a series of lectures given at the Winter School in Fluid Dynamics held in Paseky, Czech Republic in December 1993. Including original research and important new results, it contains a detailed investigation of some methods used towards the proof of global regularity for the Navier-Stokes equations. It also explores new formulations of the free-boundary in the dynamics of viscous fluids, and different methods for conservation laws in several space dimensions and related numerical schemes. The final contribution examines the existence and stability of non-isothermal compressible fluids and their relation with incompressible models.

Dirac Operators in Analysis

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Publisher : CRC Press
ISBN 13 : 9780582356818
Total Pages : 260 pages
Book Rating : 4.3/5 (568 download)

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Book Synopsis Dirac Operators in Analysis by : John Ryan

Download or read book Dirac Operators in Analysis written by John Ryan and published by CRC Press. This book was released on 1999-01-06 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: Clifford analysis has blossomed into an increasingly relevant and fashionable area of research in mathematical analysis-it fits conveniently at the crossroads of many fundamental areas of research, including classical harmonic analysis, operator theory, and boundary behavior. This book presents a state-of-the-art account of the most recent developments in the field of Clifford analysis with contributions by many of the field's leading researchers.

Linear Theory of Colombeau Generalized Functions

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Publisher : CRC Press
ISBN 13 : 9780582356832
Total Pages : 172 pages
Book Rating : 4.3/5 (568 download)

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Book Synopsis Linear Theory of Colombeau Generalized Functions by : M Nedeljkov

Download or read book Linear Theory of Colombeau Generalized Functions written by M Nedeljkov and published by CRC Press. This book was released on 1998-05-20 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: Results from the now-classical distribution theory involving convolution and Fourier transformation are extended to cater for Colombeau's generalized functions. Indications are given how these particular generalized functions can be used to investigate linear equations and pseudo differential operators. Furthermore, applications are also given to problems with nonregular data.

Common Zeros of Polynominals in Several Variables and Higher Dimensional Quadrature

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Publisher : CRC Press
ISBN 13 : 1000153789
Total Pages : 140 pages
Book Rating : 4.0/5 (1 download)

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Book Synopsis Common Zeros of Polynominals in Several Variables and Higher Dimensional Quadrature by : Yuan Xu

Download or read book Common Zeros of Polynominals in Several Variables and Higher Dimensional Quadrature written by Yuan Xu and published by CRC Press. This book was released on 2020-12-18 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents a systematic study of the common zeros of polynomials in several variables which are related to higher dimensional quadrature. The author uses a new approach which is based on the recent development of orthogonal polynomials in several variables and differs significantly from the previous ones based on algebraic ideal theory. Featuring a great deal of new work, new theorems and, in many cases, new proofs, this self-contained work will be of great interest to researchers in numerical analysis, the theory of orthogonal polynomials and related subjects.

Progress in Holomorphic Dynamics

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Publisher : CRC Press
ISBN 13 : 9780582323889
Total Pages : 204 pages
Book Rating : 4.3/5 (238 download)

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Book Synopsis Progress in Holomorphic Dynamics by : Hartje Kriete

Download or read book Progress in Holomorphic Dynamics written by Hartje Kriete and published by CRC Press. This book was released on 1998-05-20 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the last few decades, complex dynamical systems have received widespread public attention and emerged as one of the most active fields of mathematical research. Starting where other monographs in the subject end, Progress in Holomorphic Dynamics advances the theoretical aspects and recent results in complex dynamical systems, with particular emphasis on Siegel discs. Organized into four parts, the papers in this volume grew out of three workshops: two hosted by the Georg-August-Universität Göttingen and one at the "Mathematisches Forschungsinstitut Oberwolfach." Part I addresses linearization. The authors review Yoccoz's proof that the Brjuno condition is the optimal condition for linearizability of indifferent fixed points and offer a treatment of Perez-Marco's refinement of Yoccoz's work. Part II discusses the conditions necessary for the boundary of a Siegel disc to contain a critical point, builds upon Herman's work, and offers a survey of the state-of-the-art regarding the boundaries of Siegel discs. Part III deals with the topology of Julia sets with Siegel discs and contains a remarkable highlight: C.L. Petersen establishes the existence of Siegel discs of quadratic polynomials with a locally connected boundary. Keller, taking a different approach, explains the relations between locally connected "real Julia sets" with Siegel discs and the abstract concepts of kneading sequences and itineraries. Part IV closes the volume with four papers that review the different directions of present research in iteration theory. It includes discussions on the relations between commuting rational functions and their Julia sets, interactions between the iteration of polynomials and the iteration theory of entire transcendental functions, a deep analysis of the topology of the limbs of the Mandelbrot set, and an overview of complex dynamics in higher dimensions.