Maximum Principles and Sharp Constants for Solutions of Elliptic and Parabolic Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Maximum Principles and Sharp Constants for Solutions of Elliptic and Parabolic Systems write by Gershon Kresin. This book was released on 2012-08-15. Maximum Principles and Sharp Constants for Solutions of Elliptic and Parabolic Systems available in PDF, EPUB and Kindle. The main goal of this book is to present results pertaining to various versions of the maximum principle for elliptic and parabolic systems of arbitrary order. In particular, the authors present necessary and sufficient conditions for validity of the classical maximum modulus principles for systems of second order and obtain sharp constants in inequalities of Miranda-Agmon type and in many other inequalities of a similar nature. Somewhat related to this topic are explicit formulas for the norms and the essential norms of boundary integral operators. The proofs are based on a unified approach using, on one hand, representations of the norms of matrix-valued integral operators whose target spaces are linear and finite dimensional, and, on the other hand, on solving certain finite dimensional optimization problems. This book reflects results obtained by the authors, and can be useful to research mathematicians and graduate students interested in partial differential equations.
Elliptic & Parabolic Equations
Elliptic & Parabolic Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Elliptic & Parabolic Equations write by Zhuoqun Wu. This book was released on 2006. Elliptic & Parabolic Equations available in PDF, EPUB and Kindle. This book provides an introduction to elliptic and parabolic equations. While there are numerous monographs focusing separately on each kind of equations, there are very few books treating these two kinds of equations in combination. This book presents the related basic theories and methods to enable readers to appreciate the commonalities between these two kinds of equations as well as contrast the similarities and differences between them.
Superlinear Parabolic Problems
Superlinear Parabolic Problems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Superlinear Parabolic Problems write by Prof. Dr. Pavol Quittner. This book was released on 2019-06-26. Superlinear Parabolic Problems available in PDF, EPUB and Kindle. This book is devoted to the qualitative study of solutions of superlinear elliptic and parabolic partial differential equations and systems. This class of problems contains, in particular, a number of reaction-diffusion systems which arise in various mathematical models, especially in chemistry, physics and biology. The first two chapters introduce to the field and enable the reader to get acquainted with the main ideas by studying simple model problems, respectively of elliptic and parabolic type. The subsequent three chapters are devoted to problems with more complex structure; namely, elliptic and parabolic systems, equations with gradient depending nonlinearities, and nonlocal equations. They include many developments which reflect several aspects of current research. Although the techniques introduced in the first two chapters provide efficient tools to attack some aspects of these problems, they often display new phenomena and specifically different behaviors, whose study requires new ideas. Many open problems are mentioned and commented. The book is self-contained and up-to-date, it has a high didactic quality. It is devoted to problems that are intensively studied but have not been treated so far in depth in the book literature. The intended audience includes graduate and postgraduate students and researchers working in the field of partial differential equations and applied mathematics. The first edition of this book has become one of the standard references in the field. This second edition provides a revised text and contains a number of updates reflecting significant recent advances that have appeared in this growing field since the first edition.
Maximum Principles and Sharp Constants for Solutions of Elliptic and Parabolic Systems
Maximum Principles and Sharp Constants for Solutions of Elliptic and Parabolic Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Maximum Principles and Sharp Constants for Solutions of Elliptic and Parabolic Systems write by Gershon Kresin. This book was released on . Maximum Principles and Sharp Constants for Solutions of Elliptic and Parabolic Systems available in PDF, EPUB and Kindle.
Strongly Coupled Parabolic and Elliptic Systems
Strongly Coupled Parabolic and Elliptic Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Strongly Coupled Parabolic and Elliptic Systems write by Dung Le. This book was released on 2018-11-05. Strongly Coupled Parabolic and Elliptic Systems available in PDF, EPUB and Kindle. Strongly coupled (or cross-diffusion) systems of parabolic and elliptic partial differential equations appear in many physical applications. This book presents a new approach to the solvability of general strongly coupled systems, a much more difficult problem in contrast to the scalar case, by unifying, elucidating and extending breakthrough results obtained by the author, and providing solutions to many open fundamental questions in the theory. Several examples in mathematical biology and ecology are also included. Contents Interpolation Gagliardo–Nirenberg inequalities The parabolic systems The elliptic systems Cross-diffusion systems of porous media type Nontrivial steady-state solutions The duality RBMO(μ)–H1(μ)| Some algebraic inequalities Partial regularity
