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Herrero, Miguel A. and Velázquez, J.J. L.
(1994)
*Blow-up of solutions of supercritical semilinear parabolic equations.*
Comptes Rendus de l'Académie des Sciences. Série I. Mathématique , 319
(2).
pp. 141-145.
ISSN 0764-4442

## Abstract

We consider the equation (E) u(t) = Δu + u(p) where x Є R(N) (N ≥ 1), t > 0, p > 1. We show that if N ≥ 11 and p > N - 2 (N - 1)1/2/(N - 4) - 2(N - 1)1/2 then there exist radial and positive solutions of (E) which blow up at x = 0, t = T < ∞ and such that GRAPHICS Precise asymptotics for these solutions near t = T are also obtained

Item Type: | Article |
---|---|

Uncontrolled Keywords: | Supercritical semilinear parabolic equations; radial and positive solutions; blow up |

Subjects: | Sciences > Mathematics > Differential equations |

ID Code: | 17927 |

Deposited On: | 24 Jan 2013 11:36 |

Last Modified: | 12 Dec 2018 15:08 |

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