Well-posedness for a variable-coefficient wave equation with nonlinear damped acoustic boundary conditions |
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| Authors: | Jieqiong Wu |
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| Affiliation: | School of Mathematical Sciences, Shanxi University, Taiyuan, Shanxi 030006, PR China |
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| Abstract: | We consider a variable-coefficient wave equation with nonlinear damped acoustic boundary conditions. Well-posedness in the Hadamard sense for strong and weak solutions is proved by using the theory of nonlinear semigroups. |
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| Keywords: | Wave equation Variable coefficients Nonlinear damped acoustic boundary conditions Nonlinear semigroup |
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