Total energy decay for the wave equation in exterior domains with a dissipation near infinity
Copyright policy )Total energy decay for the wave equation in exterior domains with a dissipation near infinity
The paper refers to an initial boundary value problem for the wave equation with a nonlinear dissipation term. One investigates conditions under which the total energy \(E(t)\) tends to zero as \(t\) tends to infinity. This happens for instance when dissipation term satisfies a certain condition of ``half-linearity'' defined in the paper.
- Kyushu University Japan
- Chuo University Japan
Asymptotic behavior of solutions to PDEs, Applied Mathematics, dissipation term, Energy decay, nonlinear dissipation term, Exterior domains, Wave equations, initial boundary value problem, Dissipation, wave equation, Initial-boundary value problems for second-order hyperbolic equations, energy decay, Analysis, Second-order nonlinear hyperbolic equations
Asymptotic behavior of solutions to PDEs, Applied Mathematics, dissipation term, Energy decay, nonlinear dissipation term, Exterior domains, Wave equations, initial boundary value problem, Dissipation, wave equation, Initial-boundary value problems for second-order hyperbolic equations, energy decay, Analysis, Second-order nonlinear hyperbolic equations
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