Applicable Analysis · 2018 · 36 citations · 17 references
Natural SciencesMathematicsDifferential EquationsDynamical SystemsNonlinear DynamicsNonlinear Wave DynamicsStabilityStability In WavesStability TheoryGlobal Existence TheoryNonlinear StabilityNonlinear Stability TheoryNonlinear Wave PropagationNonlinear WavesStability Criteria In WavesStable SetWave Equations
In this paper, we consider a nonlinear wave equation with damping and source terms of variable-exponent types. First, we use the stable-set method to prove a global result. Then, by applying an integral inequality due to Komornik, we obtain the stability result.
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