Local energy decay for the wave equation with nonlinear time dependent damping
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🧮 math.OC
math.AP
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equationnonlineardecaydependentenergylocaltimewave
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This paper addresses a wave equation on a exterior domain in R^{d}(d odd) with nonlinear time dependent dissipation. Under a microlocal geometric condition we prove that the decay rates of the local energy functional are obtained by solving a nonlinear non-autonomous differential equation.
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