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

Tayeb Hadj Kaddour; Ali Hakem

doi:10.24193/subbmath.2022.4.04

Authors

Tayeb Hadj Kaddour
Ali Hakem

DOI:

https://doi.org/10.24193/subbmath.2022.4.04

Keywords:

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

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.

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).