Stable Solutions of Elliptic Partial Differential Equations (Chapman & Hall/CRC Monographs and Surveys in Pure and Applied Mathematics, 143) - Image 1

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CRC Press Stable Solutions of Elliptic Partial Differential Equations (Chapman & Hall/CRC Monographs and Surveys in Pure and Applied Mathematics, 143)

Name: Stable Solutions of Elliptic Partial Differential Equations (Chapman & Hall/CRC Monographs and Surveys in Pure and Applied Mathematics, 143)
Brand: CRC Press
Price: 108.48 GBP
Availability: InStock

11 black & white illustrations

Differential Equations

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Description

Stable solutions are ubiquitous in differential equations. They represent meaningful solutions from a physical point of view and appear in many applications, including mathematical physics (combustion, phase transition theory) and geometry (minimal surfaces). Stable Solutions of Elliptic Partial Differential Equations offers a self-contained presentation of the notion of stability in elliptic partial differential equations (PDEs). The central questions of regularity and classification of stable solutions are treated at length. Specialists will find a summary of the most recent developments of the theory, such as nonlocal and higher-order equations. For beginners, the book walks you through the fine versions of the maximum principle, the standard regularity theory for linear elliptic equations, and the fundamental functional inequalities commonly used in this field. The text also includes two additional topics: the inverse-square potential and some background material on submanifolds of Euclidean space. Review the author has put every effort into giving complete details of the computations. ... the self-contained one hundred-page long appendices provide a splendid resource for the reader. The material contained there has been chosen with particular good taste and constitutes in itself a valuable source of information. Remarks and further features ... are presented in an 'exercise' format. I have found many of them suitably posed and reasonable to work at the level of the book. -Jose C. Sabina de Lis, Mathematical Reviews, 2012i About the Author Louis Dupaigne is an assistant professor at Université Picardie Jules Verne in Amiens, France.

Product Specifications

Brand: CRC Press
Model: 11 black & white illustrations
Format: hardcover
ASIN: 1420066544
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Mathematical Analysis > Differential Equations
Domain: Amazon UK
Release Date: 27 September 2019
Listed Since: 22 June 2007

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CRC Press Stable Solutions of Elliptic Partial Differential Equations (Chapman & Hall/CRC Monographs and Surveys in Pure and Applied Mathematics, 143)

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