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Weakly coupled systems of semilinear effectively damped waves with time-dependent coefficient, different power nonlinearities and different regularity of the data
Journal article   Peer reviewed

Weakly coupled systems of semilinear effectively damped waves with time-dependent coefficient, different power nonlinearities and different regularity of the data

Abdelhamid Mohammed Djaouti and Michael Reissig
Nonlinear analysis, Vol.175, pp.28-55
01/10/2018
DOI: https://doi.org/10.1016/j.na.2018.05.006

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
We study the global existence of small data solutions to the Cauchy problem for semilinear damped wave equations with an effective dissipation term, where the data are supposed to belong to different classes of regularity. We apply these results to the Cauchy problem for weakly coupled systems of semilinear effectively damped waves with respect to the defined classes of regularity for different power nonlinearities. (C) 2018 Elsevier Ltd. All rights reserved.

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