Parabolic Equations on an Infinite Strip

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 It also exploresnew unpublished results on parabolic limits .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.