April 20, 2020

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

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Abstract

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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Cite This Study

Aounallah et al. (Mon,) studied this question.

synapsesocial.com/papers/69dd39dcfb7610310c101185 https://doi.org/https://doi.org/10.1002/mma.6455

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