Parabolic equations on an infinite strip
著者
書誌事項
Parabolic equations on an infinite strip
（Monographs and textbooks in pure and applied mathematics, 127）
M. Dekker, c1989
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注記
Bibliography: p. 275-285
Includes index
内容説明・目次
内容説明
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 It also exploresnew, unpublished results on parabolic limits .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.
目次
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
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