General decay and blow up of solution for a nonlinear wave equation with a fractional boundary damping
Radhouane Aounallah, Salah Boulaaras, Abderrahmane Zaraï, Bahri Cherif
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.
Topics & Concepts
MathematicsBounded functionMathematical analysisDomain (mathematical analysis)Wave equationNonlinear systemBoundary (topology)Fractional calculusEnergy (signal processing)Energy methodBoundary value problemPhysicsStatisticsQuantum mechanicsStability and Controllability of Differential EquationsAdvanced Mathematical Physics ProblemsAdvanced Mathematical Modeling in Engineering