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

Donal O'Regan

doi:10.1017/S0004972709000926

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

Donal O'Regan

Mathematics

University of Colorado Denver

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

2 Citations (Scopus)

Abstract

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.

Original language	English (Ireland)
Pages (from-to)	281-288
Number of pages	8
Journal	BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY
Volume	81
Issue number	2
DOIs	https://doi.org/10.1017/S0004972709000926
Publication status	Published - 1 Apr 2010

Keywords

generalized solution
global inverse function theorem
periodic-Dirichlet problem
unique existence
wave equation

Authors (Note for portal: view the doc link for the full list of authors)

Authors
Chen, JH,O'Regan, D

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10.1017/S0004972709000926

Cite this

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abstract = "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 = "generalized solution, global inverse function theorem, periodic-Dirichlet problem, unique existence, wave equation",

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KW - generalized solution

KW - global inverse function theorem

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KW - unique existence

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

Abstract

Keywords

Authors (Note for portal: view the doc link for the full list of authors)

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