Asymptotic Behavior and Observability of Semilinear Evolution Equations PDF Download

Author: Mahmoud Baroun
Publisher:
ISBN:
Category :
Languages : en
Pages :

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Author: Thierry Cazenave
Publisher: Oxford University Press
ISBN: 9780198502777
Category : Computers
Languages : en
Pages : 204

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Book Description
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.

Author: Alain Haraux
Publisher: Springer
ISBN: 3540385347
Category : Mathematics
Languages : en
Pages : 324

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Book Description

Author: Toka Diagana
Publisher: Springer
ISBN: 303000449X
Category : Mathematics
Languages : en
Pages : 189

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Book Description
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.

Author: Kaïs Ammari
Publisher: Cambridge University Press
ISBN: 1108412300
Category : Mathematics
Languages : en
Pages : 205

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Book Description
The proceedings of a summer school held in 2015 whose theme was long time behavior and control of evolution equations.

Author: M. I. Vishik
Publisher: Cambridge University Press
ISBN: 9780521422376
Category : Mathematics
Languages : en
Pages : 172

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Book Description
A short but sweet summary of globally asymptotic solutions of evolutionary equations.

Author: Gaston M. N'Guerekata
Publisher: Nova Publishers
ISBN: 9781604562262
Category : Mathematics
Languages : en
Pages : 258

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Book Description
This book presents high-quality research from around the world on the theory and methods of linear or nonlinear evolution equations as well as their further applications. Equations dealing with the asymptotic behavior of solutions to evolution equations are included. The book also covers degenerate parabolic equations, abstract differential equations, comments on the Schrodinger equation, solutions in banach spaces, periodic and quasi-periodic solutions, concave Lagragian systems and integral equations.

Author: Songmu Zheng
Publisher: CRC Press
ISBN: 1135436479
Category : Mathematics
Languages : en
Pages : 302

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Book Description
Nonlinear evolution equations arise in many fields of sciences including physics, mechanics, and material science. This book introduces some important methods for dealing with these equations and explains clearly and concisely a wide range of relevant theories and techniques. These include the semigroup method, the compactness and monotone operator methods, the monotone iterative method and invariant regions, the global existence and uniqueness theory for small initial data, and the asymptotic behavior of solutions and global attractors. Many of the results are published in book form for the first time. Bibliographic comments in each chapter provide the reader with references and further reading materials to enable further research and study.

Author: Thieu-Huy Nguyen
Publisher:
ISBN:
Category :
Languages : en
Pages :

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Author: Reinhard Racke
Publisher: Birkhäuser
ISBN: 3319218735
Category : Mathematics
Languages : en
Pages : 315

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Book Description
This book mainly serves as an elementary, self-contained introduction to several important aspects of the theory of global solutions to initial value problems for nonlinear evolution equations. The book employs the classical method of continuation of local solutions with the help of a priori estimates obtained for small data. The existence and uniqueness of small, smooth solutions that are defined for all values of the time parameter are investigated. Moreover, the asymptotic behaviour of the solutions is described as time tends to infinity. The methods for nonlinear wave equations are discussed in detail. Other examples include the equations of elasticity, heat equations, the equations of thermoelasticity, Schrödinger equations, Klein-Gordon equations, Maxwell equations and plate equations. To emphasize the importance of studying the conditions under which small data problems offer global solutions, some blow-up results are briefly described. Moreover, the prospects for corresponding initial boundary value problems and for open questions are provided. In this second edition, initial-boundary value problems in waveguides are additionally considered.