Some singular perturbationsresultsfor semilinear hyperbolic problems

Senoussi Guesmia; Abdelmouhcene Sengouga

doi:10.3934/dcdss.2012.5.567

Article Contents

2012, Volume 5, Issue 3: 567-580. Doi: 10.3934/dcdss.2012.5.567

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Some singular perturbations results for semilinear hyperbolic problems

Senoussi Guesmia^1, and
Abdelmouhcene Sengouga^2,

1.
University of Zürich, Institute of Mathematics, Winterthurerstrasse 190, CH-8057 Zurich
2.
Department of Mathematics, University of M’sila, BP:166, 28000, M’sila

Received: August 2010

Revised: December 2010

Published: June 2012

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Abstract

This paper is concerned with the asymptotic behaviour of the solutions of some semilinear hyperbolic problems. Using the monotonicity hypothesis, convergence results are shown in different spaces depending on the derivative directions of an arbitrary domain $\Omega .$ Some improvements are established when $\Omega $ is a cylinder.

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Mathematics Subject Classification: 35B25, 35B40, 35L15, 35L20, 35L70.

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References

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