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ON A PERTURBED CONSERVATIVE SYSTEM OF SEMILINEAR WAVE EQUATIONS WITH PERIODIC-DIRICHLET BOUNDARY CONDITIONS

Part of: Partial differential operators Hyperbolic equations and systems Partial differential equations

Published online by Cambridge University Press:  13 January 2010

JINHAI CHEN  and
DONAL O’REGAN
JINHAI CHEN*
Affiliation:
Department of Mathematical and Statistical Sciences, University of Colorado Denver, Campus Box 170, PO Box 173364, Denver, CO 80217-3364, USA (email: [email protected])
DONAL O’REGAN
Affiliation:
Department of Mathematics, National University of Ireland, Galway, Ireland (email: [email protected])
*
✉For correspondence; e-mail: [email protected]
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Abstract

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In this paper, some existence and uniqueness results for generalized solutions to a periodic-Dirichlet problem for semilinear wave equations are given, using a global inverse function theorem. These results extend those known in the literature.

Keywords

wave equationperiodic-Dirichlet problemgeneralized solutionunique existenceglobal inverse function theorem

MSC classification

Secondary: 35B10: Periodic solutions 35L05: Wave equation 35L20: Initial-boundary value problems for second-order hyperbolic equations 47F05: Partial differential operators (should also be assigned at least one other classification number in section 47)
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 81 , Issue 2 , April 2010 , pp. 281 - 288
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2010

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