Kernel sections for damped non-autonomous wave equations with critical exponent (Q1865965)
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scientific article; zbMATH DE number 1890744
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Kernel sections for damped non-autonomous wave equations with critical exponent |
scientific article; zbMATH DE number 1890744 |
Statements
Kernel sections for damped non-autonomous wave equations with critical exponent (English)
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15 July 2003
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The existence of kernel sections for the process generated by damped non-autonomous wave equation containing nonlinear damping and nonlinearity of critically growing exponent is proved. Uniform boundedness of the Hausdorff dimension of the kernel sections is also obtained.
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semilinear wave equation
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Hausdorff dimension
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nonlinear damping
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critical exponent
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