Maximum Principles and Sharp Constants for Solutions of Elliptic and Parabolic Systems is popular PDF and ePub book, written by Gershon Kresin in 2012-08-15, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Maximum Principles and Sharp Constants for Solutions of Elliptic and Parabolic Systems can be Read Online from any device for your convenience.
Maximum Principles and Sharp Constants for Solutions of Elliptic and Parabolic Systems Book PDF Summary
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.
Detail Book of Maximum Principles and Sharp Constants for Solutions of Elliptic and Parabolic Systems PDF
- Author : Gershon Kresin
- Release : 15 August 2012
- Publisher : American Mathematical Soc.
- ISBN : 9780821889817
- Genre : Mathematics
- Total Page : 330 pages
- Language : English
- PDF File Size : 21,9 Mb
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