The wave equation with nonlinear dissipation in noncylindrical domains. (Q1432350)

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scientific article; zbMATH DE number 2074653
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The wave equation with nonlinear dissipation in noncylindrical domains.
scientific article; zbMATH DE number 2074653

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    The wave equation with nonlinear dissipation in noncylindrical domains. (English)
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    15 June 2004
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    This paper is devoted to new results on the solvability of boundary value problems for wave equations \[ Lu\equiv u_{tt}- u_{xx}+ \beta(u, u_t)= f(x,t) \] with nonlinear dissipation (that is with nonlinear lower terms depending on the derivative of the solution) in some noncylindrical domains.
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    nonlinear dissipation
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    noncylindrical domain
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    wave equation
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