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General decay and blow up of solution for a nonlinear wave equation with a fractional boundary damping
Journal article   Peer reviewed

General decay and blow up of solution for a nonlinear wave equation with a fractional boundary damping

Radhouane Aounallah, Salah Boulaaras, Abderrahmane Zarai and Bahri Cherif
Mathematical methods in the applied sciences, Vol.43(12), pp.7175-7193
01/08/2020
DOI: https://doi.org/10.1002/mma.6455

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
The paper deals with the study of global existence of solutions and the general decay in a bounded domain for nonlinear wave equation with fractional derivative boundary condition by using the Lyaponov functional. Furthermore, the blow up of solutions with nonpositive initial energy combined with a positive initial energy is established.

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