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

Maximum Principles and Sharp Constants for Solutions of Elliptic and Parabolic Systems
Author :
Publisher : American Mathematical Soc.
Total Pages : 330
Release :
ISBN-10 : 9780821889817
ISBN-13 : 0821889818
Rating : 4/5 (17 Downloads)

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 and published by American Mathematical Soc.. This book was released on 2012-08-15 with total page 330 pages. 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 Related Books

Maximum Principles and Sharp Constants for Solutions of Elliptic and Parabolic Systems
Language: en
Pages: 330
Authors: Gershon Kresin
Categories: Mathematics
Type: BOOK - Published: 2012-08-15 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

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.
Brauer Groups, Tamagawa Measures, and Rational Points on Algebraic Varieties
Language: en
Pages: 280
Authors: Jorg Jahnel
Categories: Mathematics
Type: BOOK - Published: 2014-12-02 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

The central theme of this book is the study of rational points on algebraic varieties of Fano and intermediate type--both in terms of when such points exist and
Geometry of Isotropic Convex Bodies
Language: en
Pages: 618
Authors: Silouanos Brazitikos
Categories: Mathematics
Type: BOOK - Published: 2014-04-24 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

The study of high-dimensional convex bodies from a geometric and analytic point of view, with an emphasis on the dependence of various parameters on the dimensi
The Octagonal PETs
Language: en
Pages: 226
Authors: Richard Evan Schwartz
Categories: Mathematics
Type: BOOK - Published: 2014-07-03 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

A polytope exchange transformation is a (discontinuous) map from a polytope to itself that is a translation wherever it is defined. The 1-dimensional examples,
Gradings on Simple Lie Algebras
Language: en
Pages: 355
Authors: Alberto Elduque
Categories: Mathematics
Type: BOOK - Published: 2013 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

This monograph is a self-contained exposition of the classification of gradings by arbitrary groups on classical simple Lie algebras over algebraically closed f