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24.—The Solution of Initial-Boundary Value Problems for Pseudoparabolic Partial Differential Equations*†

Published online by Cambridge University Press:  14 February 2012

William Rundell  and
I. N. Sneddon
William Rundell
Affiliation:
Department of Mathematics, Texas A & M University, College Station, Texas 77843, USA
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Synopsis

A fundamental solution for equations of pseudoparabolic type is constructed by a method analogous to Hadamard's construction for elliptic equations. By the use of this fundamental solution we obtain a regularity theorem and integral representations for the solution to the more common initial boundary value problems that are associated with these equations.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 74 , 1976 , pp. 311 - 326
Copyright
Copyright © Royal Society of Edinburgh 1976

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