Modified different nonlinearities for weakly coupled systems of semilinear effectively damped waves with different time-dependent coefficients in the dissipation terms

Abdelhamid Mohammed Djaouti

Modified different nonlinearities for weakly coupled systems of semilinear effectively damped waves with different time-dependent coefficients in the dissipation terms

Analysis of PDEs 2019-10-18 v1

Authors: Abdelhamid Mohammed Djaouti

Abstract

We prove the global existence of small data solution in all space dimension for weakly coupled systems of semi-linear effectively damped wave, with different time-dependent coefficients in the dissipation terms. Moreover, nonlinearity terms $f(t,u)$ and $g(t,v)$ satisfying some properties of the parabolic equation. We study the problem in several classes of regularity.

Keywords

weakly coupled systems semilinear damped waves time-dependent coefficients global existence small data solution parabolic equation

Cite

@article{arxiv.1910.07731,
  title  = {Modified different nonlinearities for weakly coupled systems of semilinear effectively damped waves with different time-dependent coefficients in the dissipation terms},
  author = {Abdelhamid Mohammed Djaouti},
  journal= {arXiv preprint arXiv:1910.07731},
  year   = {2019}
}

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