General decay and blow-up of solutions for a nonlinear wave equation with memory and fractional boundary damping terms

Published 29 Jun 2020 in math.AP | (2006.16325v1)

Abstract: The paper studies the global existence and general decay of solutions using Lyaponov functional for a nonlinear wave equation, taking into account the fractional derivative boundary condition and memory term. In addition, we establish the blow up of solutions with nonpositive initial energy.

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