Blow-up of solutions for a class of nonlinear parabolic equations (Q873755)
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scientific article; zbMATH DE number 5135100
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Blow-up of solutions for a class of nonlinear parabolic equations |
scientific article; zbMATH DE number 5135100 |
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Blow-up of solutions for a class of nonlinear parabolic equations (English)
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20 March 2007
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The author considers the blow up of a class of nonlinear parabolic equations with mixed boundary conditions. By constructing an auxiliary function and using Hopf's maximum principles, an existence theorem of blow-up solutions, upper bound of ``blow-up time'' and upper estimates of ``blow-up rate'' are given.
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blow-up
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nonlinear parabolic equations
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mixed boundary conditions
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blow-up time
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blow-up rate
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Hopf's maximum principles
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