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 It also exploresnew, unpublished results on parabolic limits .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.
By:
Watson
Imprint: CRC Press
Country of Publication: United Kingdom
Dimensions:
Height: 229mm,
Width: 152mm,
Weight: 453g
ISBN: 9780367451172
ISBN 10: 0367451174
Series: Chapman & Hall/CRC Pure and Applied Mathematics
Pages: 312
Publication Date: 02 December 2019
Audience:
Professional and scholarly
,
Undergraduate
Format: Paperback
Publisher's Status: Active
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
