Solution Focus of the Book

This book focuses on 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.

Topics Covered

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.

Additional Results

It also explores new, unpublished results on parabolic limits, more general limits, and solutions satisfying LP conditions.

Target Audience

Requiring only a fundamental knowledge of general analysis and measure theory, this book serves as an excellent text for graduate students studying partial differential equations and harmonic analysis, as well as a useful reference for analysts interested in applied measure theory, and specialists in partial differential equations.