Remarks on the existence an uniqueness of global decaying solutions of the nonlinear dissipative wave equations.
Mitsuhiro Nakao (1991)
Mathematische Zeitschrift
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Displaying similar documents to “On the Decay of Solutions of Some Nonlinear Dissipative Wave Equations in Higher Dimensions.”
Remarks on the existence an uniqueness of global decaying solutions of the nonlinear dissipative wave equations.
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Robert T. Glassey (1973)
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Robert T. Glassey (1981)
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Aissa Guesmia (1998)
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We obtain a precise decay estimate of the energy of the solutions to the initial boundary value problem for the wave equation with nonlinear internal and boundary feedbacks. We show that a judicious choice of the feedbacks leads to fast energy decay.
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Peter Kumlin (1988)
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Joel D. Avrin (1987)
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Felix E. Browder (1962/63)
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Weak solutions to the initial boundary value problem for a semilinear wave equation with damping and source terms
Petronela Radu (2008)
Applicationes Mathematicae
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We show local existence of solutions to the initial boundary value problem corresponding to a semilinear wave equation with interior damping and source terms. The difficulty in dealing with these two competitive forces comes from the fact that the source term is not a locally Lipschitz function from H¹(Ω) into L²(Ω) as typically assumed in the literature. The strategy behind the proof is based on the physics of the problem, so it does not use the damping present in the equation. The...