Regularity of solutions of nonlinear parabolic equations (Q2757031)
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scientific article; zbMATH DE number 1675686
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Regularity of solutions of nonlinear parabolic equations |
scientific article; zbMATH DE number 1675686 |
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9 April 2002
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higher-order regularity
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0.96779764
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0.96559316
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0.9638383
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0.96324027
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0.96280503
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0.9613897
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0.96125317
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Regularity of solutions of nonlinear parabolic equations (English)
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The author studies the smoothness of the solutions for the Cauchy problem of the type NEWLINE\[NEWLINE \dot{u}+ A u=F(u), \quad t>0, \qquad u(0)=u_0NEWLINE\]NEWLINE where \(A\) is an abstract counterpart of an elliptic operator. It is obtained a necessary and sufficient condition or higher-order regularity of solutions for that problem. In addition, some examples and applications of that result are described.
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