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On the Benefit of Different Additional Regularity for the Weakly Coupled Systems of Semilinear Effectively Damped Waves

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Abstract

This paper is devoted to study the global existence of small data solutions to the Cauchy problem for weakly coupled systems of semilinear effectively damped waves, where the data have different additional regularities and different power nonlinearities.

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Authors and Affiliations

  1. Faculty for Mathematics and Computer Science, Technical University Bergakademie Freiberg, Prüferstr. 9, 09596, Freiberg, Germany

    Abdelhamid Mohammed Djaouti

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  1. Abdelhamid Mohammed Djaouti
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Correspondence to Abdelhamid Mohammed Djaouti.

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The research of this article is supported by German Academic Exchange Service, DAAD (Personal identification number: 91524991)

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Mohammed Djaouti, A. On the Benefit of Different Additional Regularity for the Weakly Coupled Systems of Semilinear Effectively Damped Waves. Mediterr. J. Math. 15, 115 (2018). https://doi.org/10.1007/s00009-018-1173-1

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  • DOI: https://doi.org/10.1007/s00009-018-1173-1

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