Existence and blow-up of solutions of a pseudoparabolic equation (Q641976)
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scientific article; zbMATH DE number 5963556
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence and blow-up of solutions of a pseudoparabolic equation |
scientific article; zbMATH DE number 5963556 |
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Existence and blow-up of solutions of a pseudoparabolic equation (English)
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25 October 2011
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The author considers the nonlinear equation of the form \[ \frac{\partial}{\partial t}(-\Delta^2u+\Delta u-u)+uu_x+u_{xxx}+u^3=0. \] Such equations are also called equations of Sobolev type. The existence of a local solution proved in this work. Additionally, the author gets blow-up of such solution.
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equations of Sobolev type
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local solution
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