Global nonexistence of solution for coupled nonlinear Klein-Gordon with degenerate damping and source terms

Authors

  • Djamel OUCHENANE Laboratory of Pure and Applied Mathematics, Amar Teledji University, Laghouat, Algeria, e-mail: ouchenanedjamel@gmail.com; d.ouchenane@lagh-univ.dz
  • Zineb KHALILI Laboratory of Pure and Applied Mathematics, Amar Teledji University, Laghouat, Algeria, e-mail: Z.Khalili@lagh-univ.dz https://orcid.org/0000-0002-6380-3877
  • Fares YAZID Laboratory of Pure and Applied Mathematics, Amar Teledji University, Laghouat, Algeria, e-mail: fsmmath@yahoo.com; f.yazid@lagh-univ.dz https://orcid.org/0000-0001-6629-9963

DOI:

https://doi.org/10.24193/subbmath.2022.4.10

Keywords:

Global nonexistence, degenerate damping, source terms, positive initial energy, concavity method.

Abstract

In this article we consider a coupled system of nonlinear Klein-Gordon equations with degenerate damping and source terms. We prove, with positive initial energy, the global nonexistence of solutions by concavity method.

Mathematics Subject Classification (2010): 35L70, 35B40, 93D20.

Received 22 January 2020; Accepted 10 May 2020.

References

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Published

2022-12-02

How to Cite

OUCHENANE, D., KHALILI, Z., & YAZID, F. (2022). Global nonexistence of solution for coupled nonlinear Klein-Gordon with degenerate damping and source terms. Studia Universitatis Babeș-Bolyai Mathematica, 67(4), 801–815. https://doi.org/10.24193/subbmath.2022.4.10

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