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 “Global Classical Solutions of Nonlinear Wave Equations.”
Remarks on the existence an uniqueness of global decaying solutions of the nonlinear dissipative wave equations.
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We study existence, uniqueness, continuous dependence, general decay of solutions of an initial boundary value problem for a viscoelastic wave equation with strong damping and nonlinear memory term. At first, we state and prove a theorem involving local existence and uniqueness of a weak solution. Next, we establish a sufficient condition to get an estimate of the continuous dependence of the solution with respect to the kernel function and the nonlinear terms. Finally, under suitable...
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