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

Name: Maximum Principles and Sharp Constants for Solutions of Elliptic and Parabolic Systems
Brand: American Mathematical Society
SKU: 9780821889817
Price: 56753 HUF
Availability: InStock

Szerző: Vladimir Maz'ya

Nyelv:

Kötés: Kemény kötésű

Kiadó: American Mathematical Society

Elérhetőség: 50 % esély

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The main goal of this book is to present results pertaining to various versions of the maximum princ...

Információk a könyvről

Szerző

Vladimir Maz'ya

Nyelv

Angol

Kötés

Könyv - Kemény kötésű

Kiadva

2012

oldal

317

EAN

9780821889817

ISBN

9780821889817

Enbook ID

06352853

Kiadó

American Mathematical Society

Súly

456

Teljes leírás

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.

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

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