Strongly damped wave problems: bootstrapping and regularity of solutions (Q926865)
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scientific article; zbMATH DE number 5277637
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Strongly damped wave problems: bootstrapping and regularity of solutions |
scientific article; zbMATH DE number 5277637 |
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Strongly damped wave problems: bootstrapping and regularity of solutions (English)
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21 May 2008
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The authors present a unified approach to the local existence, uniqueness and regularity of solutions to problems for the class of second order in time semilinear partial differential equations including perturbed sine-Gordon equation, perturbed wave equation of quantum mechanics, perturbed viscous Cahn-Hilliard equation and wave equation with structural damping. The results are compared with the results in the references.
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damped wave equation
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analytic semigroup
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critical exponent
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perturbed sine-Gordon equation
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perturbed wave equation of quantum mechanics
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perturbed viscous Cahn-Hilliard equation
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wave equation with structural damping
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0.91979265
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0.9093989
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0.90815157
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0.9071449
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0.9069368
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