24.—The Solution of Initial-Boundary Value Problems for Pseudoparabolic Partial Differential Equations
- 1 January 1976
- journal article
- research article
- Published by Cambridge University Press (CUP) in Proceedings of the Royal Society of Edinburgh: Section A Mathematics
- Vol. 74, 311-326
- https://doi.org/10.1017/s0308210500016747
Abstract
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.Keywords
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