Global existence for the nonlinear heat equation in the Fujita subcritical case with initial value having zero mean value (Q663730)
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scientific article; zbMATH DE number 6009682
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Global existence for the nonlinear heat equation in the Fujita subcritical case with initial value having zero mean value |
scientific article; zbMATH DE number 6009682 |
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Global existence for the nonlinear heat equation in the Fujita subcritical case with initial value having zero mean value (English)
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27 February 2012
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Sign-changing solutions of the Cauchy problem for the Fujita equation in \(N\) space dimensions are studied. The main result gives a sufficient condition for global existence of solutions emanating from initial functions which are odd in \(k\) coordinates, \(1\leq k\leq N\).
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sign-changing solutions
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invariant manifold
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Fujita equation
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