Parabolic Equations on an Infinite Strip / Edition 1

by Watson

Overview

This book focuses on solutions of second order, linear, parabolic, partial differentialequations on an infinite strip-emphasizing their integral representation, their initialvalues in several senses, and the relations between these.Parabolic Equations on an Infinite Strip provides valuable information-previously unavailable in a single volume-on such topics as semigroup property.. . the Cauchy problem ... Gauss-Weierstrass representation . .. initial limits .. .normal limits and related representation theorems ... hyperplane conditions .. .determination of the initial measure .. . and the maximum principle. It also exploresnew, unpublished results on parabolic limits . . . more general limits ... and solutionssatisfying LP conditions.Requiring only a fundamental knowledge of general analysis and measure theory, thisbook serves as an excellent text for graduate students studying partial differentialequations and harmonic analysis, as well as a useful reference for analysts interested inapplied measure theory, and specialists in partial differential equations.

Product Details

ISBN-13:	9780824779993
Publisher:	Taylor & Francis
Publication date:	01/27/1989
Series:	Chapman & Hall/CRC Pure and Applied Mathematics , #127
Pages:	312
Product dimensions:	6.00(w) x 9.00(h) x (d)

About the Author

Watson\,

Table of Contents

1. Fundamental Solutions 2. Non-negative Solutions 3. The Semigroup Property, Cauchy Problem, and Gauss-Weierstrass Representation 4. Initial Limits of Gauss-Weierstrass Integrals 5. Normal Limits and Representation Theorems 6. Hyperplane Conditions and Representation Theorems 7. The Initial Measure of a Gauss-Weierstrass Integral 8. Maximum Principles and Initial Limits