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

Author

Mohammed Djaouti, Abdelhamid

Subjects
*CAUCHY problem, *WAVE equation, *EQUATIONS, *SEMILINEAR elliptic equations
Abstract

We prove the global existence of small data solution in all spaces of all dimensions n ≥ 1 for weakly coupled systems of semilinear effectively damped wave, with different time-dependent coefficients in the dissipation terms. Moreover, we assume that the nonlinearity terms f (t , u) and g (t , v) satisfy some properties of parabolic equations. We study the problem in several classes of regularity. [ABSTRACT FROM AUTHOR]

Published
2021
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