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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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
Keywords
- Weakly coupled hyperbolic systems
- damped wave equations
- Cauchy problem
- global existence
- \(L^{2}\)-decay
- effective dissipation
- small data solutions
- additional regularity