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Piecewise continuous solutions of nonlinear pseudoparabolic equations in two space dimensions*

Published online by Cambridge University Press:  14 November 2011

Dao-Qing Dai  and
Wei Lin
Dao-Qing Dai
Affiliation:
Department of Mathematics, Zhongshan University, Guangzhou, P.R. China
Wei Lin
Affiliation:
Department of Mathematics, Zhongshan University, Guangzhou, P.R. China
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Synopsis

An initial boundary value problem of Riemann type is solved for the nonlinear pseudoparabolic equation with two space variables

The complex function H is measurable on ℂ ×I × ℂ5, with I being an interval of the real line ℝ, Lipschitz continuous with respect to the last five variables, with the Lipschitz constant for the last variable being strictly less than one (ellipticity condition). No smallness assumption is needed in the argument.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 121 , Issue 3-4 , 1992 , pp. 203 - 217
Copyright
Copyright © Royal Society of Edinburgh 1992

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