Modified different nonlinearities for weakly coupled systems of semilinear effectively damped waves with different time-dependent coefficients in the dissipation terms
Abstract We prove the global existence of small data solution in all spaces of all dimensions n ≥ 1 $n\geq 1$ 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 ,...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-01-01
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| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13662-021-03215-0 |
| Summary: | Abstract We prove the global existence of small data solution in all spaces of all dimensions n ≥ 1 $n\geq 1$ 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 ) $f(t,u) $ and g ( t , v ) $g(t,v) $ satisfy some properties of parabolic equations. We study the problem in several classes of regularity. |
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| ISSN: | 1687-1847 |