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 It also exploresnew, unpublished results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.
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