Blow-up results for a class of first-order nonlinear evolution inequalities (Q1779289)
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scientific article; zbMATH DE number 2173047
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Blow-up results for a class of first-order nonlinear evolution inequalities |
scientific article; zbMATH DE number 2173047 |
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Blow-up results for a class of first-order nonlinear evolution inequalities (English)
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1 June 2005
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The authors deal with the nonexistence of solutions to a class of evolution inequalities. The results do not require any assumption on the regularity of data and have wide range of applications. To this end, the authors use the test-function method introduced by Mitidieri and Pokhozhaev. Using a simple and not technical argument, they study the nonexistence of solutions (not only positive) to a general nonhomogeneous problem and are able to show how the blow-up of solutions depend on the data.
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Blow-up
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Nonlinear inhomogeneous parabolic inequalities
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Test-function method
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