Semilinear Evolution Equations And Their Applications PDF Download
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Author | : Toka Diagana |
Publisher | : Springer |
Total Pages | : 189 |
Release | : 2018-10-23 |
Genre | : Mathematics |
ISBN | : 303000449X |
Download Semilinear Evolution Equations and Their Applications Book in PDF, ePub and Kindle
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 | : Thierry Cazenave |
Publisher | : Oxford University Press |
Total Pages | : 204 |
Release | : 1998 |
Genre | : Computers |
ISBN | : 9780198502777 |
Download An Introduction to Semilinear Evolution Equations Book in PDF, ePub and Kindle
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 | : Thierry Cazenave |
Publisher | : |
Total Pages | : 186 |
Release | : 2006 |
Genre | : |
ISBN | : |
Download An Introduction to Semilinear Evolution Equations Book in PDF, ePub and Kindle
Author | : Atsushi Yagi |
Publisher | : Springer Science & Business Media |
Total Pages | : 594 |
Release | : 2009-11-03 |
Genre | : Mathematics |
ISBN | : 3642046312 |
Download Abstract Parabolic Evolution Equations and their Applications Book in PDF, ePub and Kindle
This monograph is intended to present the fundamentals of the theory of abstract parabolic evolution equations and to show how to apply to various nonlinear dif- sion equations and systems arising in science. The theory gives us a uni?ed and s- tematic treatment for concrete nonlinear diffusion models. Three main approaches are known to the abstract parabolic evolution equations, namely, the semigroup methods, the variational methods, and the methods of using operational equations. In order to keep the volume of the monograph in reasonable length, we will focus on the semigroup methods. For other two approaches, see the related references in Bibliography. The semigroup methods, which go back to the invention of the analytic se- groups in the middle of the last century, are characterized by precise formulas representing the solutions of the Cauchy problem for evolution equations. The ?tA analytic semigroup e generated by a linear operator ?A provides directly a fundamental solution to the Cauchy problem for an autonomous linear e- dU lution equation, +AU =F(t), 0
Author | : Kazufumi Ito |
Publisher | : World Scientific |
Total Pages | : 524 |
Release | : 2002 |
Genre | : Science |
ISBN | : 9789812380265 |
Download Evolution Equations and Approximations Book in PDF, ePub and Kindle
Annotation Ito (North Carolina State U.) and Kappel (U. of Graz, Austria) offer a unified presentation of the general approach for well-posedness results using abstract evolution equations, drawing from and modifying the work of K. and Y. Kobayashi and S. Oharu. They also explore abstract approximation results for evolution equations. Their work is not a textbook, but they explain how instructors can use various sections, or combinations of them, as a foundation for a range of courses. Annotation copyrighted by Book News, Inc., Portland, OR
Author | : Solym Mawaki Manou-Abi |
Publisher | : John Wiley & Sons |
Total Pages | : 308 |
Release | : 2020-04-28 |
Genre | : Mathematics |
ISBN | : 1786304546 |
Download Mathematical Modeling of Random and Deterministic Phenomena Book in PDF, ePub and Kindle
This book highlights mathematical research interests that appear in real life, such as the study and modeling of random and deterministic phenomena. As such, it provides current research in mathematics, with applications in biological and environmental sciences, ecology, epidemiology and social perspectives. The chapters can be read independently of each other, with dedicated references specific to each chapter. The book is organized in two main parts. The first is devoted to some advanced mathematical problems regarding epidemic models; predictions of biomass; space-time modeling of extreme rainfall; modeling with the piecewise deterministic Markov process; optimal control problems; evolution equations in a periodic environment; and the analysis of the heat equation. The second is devoted to a modelization with interdisciplinarity in ecological, socio-economic, epistemological, demographic and social problems. Mathematical Modeling of Random and Deterministic Phenomena is aimed at expert readers, young researchers, plus graduate and advanced undergraduate students who are interested in probability, statistics, modeling and mathematical analysis.
Author | : Belleni-morante Aldo |
Publisher | : World Scientific |
Total Pages | : 180 |
Release | : 1994-05-18 |
Genre | : Mathematics |
ISBN | : 9813104570 |
Download A Concise Guide To Semigroups And Evolution Equations Book in PDF, ePub and Kindle
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).
Author | : D Daners |
Publisher | : Chapman and Hall/CRC |
Total Pages | : 268 |
Release | : 1992-12-29 |
Genre | : Mathematics |
ISBN | : |
Download Abstract Evolution Equations, Periodic Problems and Applications Book in PDF, ePub and Kindle
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.
Author | : Bei Hu |
Publisher | : Springer Science & Business Media |
Total Pages | : 137 |
Release | : 2011-03-23 |
Genre | : Mathematics |
ISBN | : 3642184596 |
Download Blow-up Theories for Semilinear Parabolic Equations Book in PDF, ePub and Kindle
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.
Author | : G Lumer |
Publisher | : CRC Press |
Total Pages | : 532 |
Release | : 2019-04-24 |
Genre | : Medical |
ISBN | : 1482277484 |
Download Evolution Equations and Their Applications in Physical and Life Sciences Book in PDF, ePub and Kindle
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