Parabolic Equations on an Infinite Strip

ISBN-13: 9780824779993 / Angielski / Twarda / 1989 / 312 str.

N. A. Watson; Ronald Watson

Opis

This book deals with solutions of second order, linear, parabolic partial differential equations on an infinite strip emphasizing their integral representation, their initial values in several senses, and the relations between these. It is useful for graduate students, analysts and specialists.

Spis treści

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

O autorze

Watson\,