Local and global existence of solutions to semilinear parabolic initial value problems (Q1593678)
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scientific article; zbMATH DE number 1556810
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Local and global existence of solutions to semilinear parabolic initial value problems |
scientific article; zbMATH DE number 1556810 |
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Local and global existence of solutions to semilinear parabolic initial value problems (English)
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18 June 2001
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The paper deals with local and global existence results for the semilinear initial value problem \[ \partial_t u=\sum_{|\alpha |=m} A_\alpha \partial^\alpha_x u+ F(u,\partial_xu,\ldots,\partial^{m-1}_xu),\quad x\in {\mathbb R}^N,\;t>0,\qquad u(x,0)=\varphi(x),\quad x\in {\mathbb R}^N. \]
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