Share

Maximum Principles and Sharp Constants for Solutions of Elliptic and Parabolic Systems

2012-08-15 Mathematics
Download Maximum Principles and Sharp Constants for Solutions of Elliptic and Parabolic Systems PDF Online Free

Author :
Release : 2012-08-15
Genre : Mathematics
Kind : eBook
Book Rating : 818/5 ( reviews)

GET EBOOK


Book Synopsis Maximum Principles and Sharp Constants for Solutions of Elliptic and Parabolic Systems by : Gershon Kresin

Download or read book Maximum Principles and Sharp Constants for Solutions of Elliptic and Parabolic Systems written by Gershon Kresin. This book was released on 2012-08-15. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Maximum Principles and Sharp Constants for Solutions of Elliptic and Parabolic Systems

Mathematics
Download Maximum Principles and Sharp Constants for Solutions of Elliptic and Parabolic Systems PDF Online Free

Author :
Release :
Genre : Mathematics
Kind : eBook
Book Rating : 685/5 ( reviews)

GET EBOOK


Book Synopsis Maximum Principles and Sharp Constants for Solutions of Elliptic and Parabolic Systems by : Gershon Kresin

Download or read book Maximum Principles and Sharp Constants for Solutions of Elliptic and Parabolic Systems written by Gershon Kresin. This book was released on . Available in PDF, EPUB and Kindle. Book excerpt:

Complex Analysis and Dynamical Systems VI

2015-12-03 Mathematics
Download Complex Analysis and Dynamical Systems VI PDF Online Free

Author :
Release : 2015-12-03
Genre : Mathematics
Kind : eBook
Book Rating : 530/5 ( reviews)

GET EBOOK


Book Synopsis Complex Analysis and Dynamical Systems VI by : Matania Ben-Artzi

Download or read book Complex Analysis and Dynamical Systems VI written by Matania Ben-Artzi. This book was released on 2015-12-03. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the Sixth International Conference on Complex Analysis and Dynamical Systems, held from May 19-24, 2013, in Nahariya, Israel, in honor of David Shoikhet's sixtieth birthday. The papers in this volume range over a wide variety of topics in Partial Differential Equations, Differential Geometry, and the Radon Transform. Taken together, the articles collected here provide the reader with a panorama of activity in partial differential equations and general relativity, drawn by a number of leading figures in the field. They testify to the continued vitality of the interplay between classical and modern analysis. The companion volume (Contemporary Mathematics, Volume 667) is devoted to complex analysis, quasiconformal mappings, and complex dynamics. This book is co-published with Bar-Ilan University (Ramat-Gan, Israel).

Strongly Coupled Parabolic and Elliptic Systems

2018-11-05 Mathematics
Download Strongly Coupled Parabolic and Elliptic Systems PDF Online Free

Author :
Release : 2018-11-05
Genre : Mathematics
Kind : eBook
Book Rating : 766/5 ( reviews)

GET EBOOK


Book Synopsis Strongly Coupled Parabolic and Elliptic Systems by : Dung Le

Download or read book Strongly Coupled Parabolic and Elliptic Systems written by Dung Le. This book was released on 2018-11-05. Available in PDF, EPUB and Kindle. Book excerpt: 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

Superlinear Parabolic Problems

2019-06-13 Mathematics
Download Superlinear Parabolic Problems PDF Online Free

Author :
Release : 2019-06-13
Genre : Mathematics
Kind : eBook
Book Rating : 223/5 ( reviews)

GET EBOOK


Book Synopsis Superlinear Parabolic Problems by : Prof. Dr. Pavol Quittner

Download or read book Superlinear Parabolic Problems written by Prof. Dr. Pavol Quittner. This book was released on 2019-06-13. Available in PDF, EPUB and Kindle. Book excerpt: 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.

You may also like...