An Introduction To Semilinear Evolution Equations
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An Introduction To Semilinear Evolution Equations
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Author : Thierry Cazenave
language : en
Publisher: Oxford University Press
Release Date : 1998
An Introduction To Semilinear Evolution Equations written by Thierry Cazenave and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Computers categories.
This book presents in a self-contained form the typical basic properties of solutions to semilinear evolutionary partial differential equations, with special emphasis on global properties. It has a didactic ambition and will be useful for an applied readership as well as theoretical researchers.
An Introduction To Semilinear Evolution Equations
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Author : Thierry Cazenave
language : en
Publisher:
Release Date : 2006
An Introduction To Semilinear Evolution Equations written by Thierry Cazenave and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with categories.
Semilinear Evolution Equations And Their Applications
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Author : Toka Diagana
language : en
Publisher: Springer
Release Date : 2018-10-23
Semilinear Evolution Equations And Their Applications written by Toka Diagana and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-23 with Mathematics categories.
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.
A Concise Guide To Semigroups And Evolution Equations
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Author : Belleni-morante Aldo
language : en
Publisher: World Scientific
Release Date : 1994-05-18
A Concise Guide To Semigroups And Evolution Equations written by Belleni-morante Aldo and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-05-18 with Mathematics categories.
This book is a simple and concise introduction to the theory of semigroups and evolution equations, both in the linear and in the semilinear case. The subject is presented by a discussion of two standard boundary value problems (from particle transport theory and from population theory), and by showing how such problems can be rewritten as evolution problems in suitable Banach spaces.Each section of the book is completed by some notes, where the relevant notions of functional analysis are explained. Some other definitions and theorems of functional analysis are discussed in the Appendices (so that the only prerequisites to read the book are classical differential and integral calculus).
Blow Up Theories For Semilinear Parabolic Equations
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Author : Bei Hu
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-03-23
Blow Up Theories For Semilinear Parabolic Equations written by Bei Hu and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-03-23 with Mathematics categories.
There is an enormous amount of work in the literature about the blow-up behavior of evolution equations. It is our intention to introduce the theory by emphasizing the methods while seeking to avoid massive technical computations. To reach this goal, we use the simplest equation to illustrate the methods; these methods very often apply to more general equations.
An Introduction To Semiflows
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Author : Albert J. Milani
language : en
Publisher: CRC Press
Release Date : 2004-10-14
An Introduction To Semiflows written by Albert J. Milani and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-10-14 with Mathematics categories.
This book introduces the class of dynamical systems called semiflows, which includes systems defined or modeled by certain types of differential evolution equations (DEEs). It focuses on the basic results of the theory of dynamical systems that can be extended naturally and applied to study the asymptotic behavior of the solutions of DEEs. The auth
Discovering Evolution Equations With Applications
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Author : Mark McKibben
language : en
Publisher: CRC Press
Release Date : 2011-06-03
Discovering Evolution Equations With Applications written by Mark McKibben and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-03 with Mathematics categories.
Most existing books on evolution equations tend either to cover a particular class of equations in too much depth for beginners or focus on a very specific research direction. Thus, the field can be daunting for newcomers to the field who need access to preliminary material and behind-the-scenes detail. Taking an applications-oriented, conversation
Abstract Evolution Equations Periodic Problems And Applications
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Author : D Daners
language : en
Publisher: Chapman and Hall/CRC
Release Date : 1992-12-29
Abstract Evolution Equations Periodic Problems And Applications written by D Daners and has been published by Chapman and Hall/CRC this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-12-29 with Mathematics categories.
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.
Strong And Weak Approximation Of Semilinear Stochastic Evolution Equations
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Author : Raphael Kruse
language : en
Publisher: Springer
Release Date : 2013-11-18
Strong And Weak Approximation Of Semilinear Stochastic Evolution Equations written by Raphael Kruse and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-18 with Mathematics categories.
In this book we analyze the error caused by numerical schemes for the approximation of semilinear stochastic evolution equations (SEEq) in a Hilbert space-valued setting. The numerical schemes considered combine Galerkin finite element methods with Euler-type temporal approximations. Starting from a precise analysis of the spatio-temporal regularity of the mild solution to the SEEq, we derive and prove optimal error estimates of the strong error of convergence in the first part of the book. The second part deals with a new approach to the so-called weak error of convergence, which measures the distance between the law of the numerical solution and the law of the exact solution. This approach is based on Bismut’s integration by parts formula and the Malliavin calculus for infinite dimensional stochastic processes. These techniques are developed and explained in a separate chapter, before the weak convergence is proven for linear SEEq.
Linear And Semilinear Partial Differential Equations
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Author : Radu Precup
language : en
Publisher: Walter de Gruyter
Release Date : 2012-12-06
Linear And Semilinear Partial Differential Equations written by Radu Precup and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
The text is intended for students who wish a concise and rapid introduction to some main topics in PDEs, necessary for understanding current research, especially in nonlinear PDEs. Organized on three parts, the book guides the reader from fundamental classical results, to some aspects of the modern theory and furthermore, to some techniques of nonlinear analysis. Compared to other introductory books in PDEs, this work clearly explains the transition from classical to generalized solutions and the natural way in which Sobolev spaces appear as completions of spaces of continuously differentiable functions with respect to energetic norms. Also, special attention is paid to the investigation of the solution operators associated to elliptic, parabolic and hyperbolic non-homogeneous equations anticipating the operator approach of nonlinear boundary value problems. Thus the reader is made to understand the role of linear theory for the analysis of nonlinear problems.