Parabolic Equations on an Infinite Strip

1. Auflage 2019
ISBN: 978-0-367-45117-2
Verlag: CRC Press

Buch, Englisch, 312 Seiten, Format (B × H): 152 mm x 229 mm, Gewicht: 417 g

Reihe: Chapman & Hall/CRC Pure and Applied Mathematics

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 It also exploresnew, unpublished results on parabolic limits.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.

Zielgruppe

Professional Practice & Development

Autoren/Hrsg.

Watson

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis

Inhaltsverzeichnis

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

Über Autor(innen)

Watson,