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

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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Bibliographic Details
Main Author: Abdelhamid Mohammed Djaouti
Format: Article
Language:English
Published: SpringerOpen 2021-01-01
Series:Advances in Difference Equations
Subjects:
Weakly coupled hyperbolic systems
Damped wave equations
Cauchy problem
Global existence
L 2 $L^{2}$ -decay
Effective dissipation
Online Access:https://doi.org/10.1186/s13662-021-03215-0

Internet

https://doi.org/10.1186/s13662-021-03215-0

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