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An equation whose Fujita critical exponent is not given by scaling |
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| Authors: | Thierry Cazenave Flávio Dickstein Fred B Weissler |
| Institution: | 1. Laboratoire Jacques-Louis Lions, UMR CNRS 7598, B.C. 187, Université Pierre et Marie Curie, 4, place Jussieu, 75252 Paris Cedex 05, France;2. Instituto de Matemática, Universidade Federal do Rio de Janeiro, Caixa Postal 68530, 21944-970 Rio de Janeiro, R.J., Brazil;3. LAGA, UMR CNRS 7539, Institut Galilée–Université Paris XIII, 99, Avenue J.-B. Clément, 93430 Villetaneuse, France |
| Abstract: | In this paper, we prove sharp blow up and global existence results for a heat equation with nonlinear memory. It turns out that the Fujita critical exponent is not the one which would be predicted from the scaling properties of the equation. |
| Keywords: | 35K55 35B33 |
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