Smoothness of solutions of the Cauchy problem for degenerate parabolic equations (Q1100346)
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scientific article; zbMATH DE number 4042420
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Smoothness of solutions of the Cauchy problem for degenerate parabolic equations |
scientific article; zbMATH DE number 4042420 |
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Smoothness of solutions of the Cauchy problem for degenerate parabolic equations (English)
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1987
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The Cauchy problem is considered \[ \partial_ tu=Au\quad (t>0),\quad u|_{t=0}=f. \] Here A is a linear selfadjoint nonnegative second- order differential operator with analytic coefficients. Growth estimates for derivatives of solutions with respect to x variables are obtained. An example of an A operator is given, for which these estimates are precise.
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Cauchy problem
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selfadjoint
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nonnegative
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second-order
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analytic coefficients
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Growth estimates
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