Global attractor for a wave equation with nonlinear localized boundary damping and a source term of critical exponent (Q1028631)
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scientific article; zbMATH DE number 5576013
| Language | Label | Description | Also known as |
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| English | Global attractor for a wave equation with nonlinear localized boundary damping and a source term of critical exponent |
scientific article; zbMATH DE number 5576013 |
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Global attractor for a wave equation with nonlinear localized boundary damping and a source term of critical exponent (English)
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6 July 2009
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The authors discuss long-time behavior of hyperbolic flows generated by a semilinear wave equation with nonlinear boundary damping on a part of the boundary and nonlinear source of the critical Sobolev exponent. They prove the existence and regularity of a global compact attractor, and its finite fractal dimensionality. They develop a special version of Carleman's estimates and apply them in the context of abstract results on dissipative dynamical systems.
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critical source
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fractal dimension
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semilinear wave equation
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Carleman's estimates
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