Blow-up results for damped wave equation with fractional Laplacian and non linear memory

Tayeb Hadj Kaddour, Ali Hakem

Abstract


This paper is devoted to find the critical exponent in Fujita’s sense and to prove the
blow-up results of solutions for the damped equation with fractional Laplacian and nonlinear memory.


Keywords


Damped wave equation, blow-up, Fujita’s exponent, fractional derivative

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References


- T. Hadj Kaddour, A. Hakem, Local existence and sufficient conditions of non-global solutions for weighted damped wave equations, FACTA Ser. Math. Inform. Vol. 32, No. 5, (2017), 629-657.

-Qi S. Zhang, A Blow-up result for a nonlinear wave equation with damping, C.R. Acad. Sciences, Paris, (2001).




DOI: http://dx.doi.org/10.24193/subbmath.2022.4.04

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