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Herrero, Miguel A. and Velázquez, J.J. L.
(1992)
*Generic blow-up behavior of solutions of one-dimensional semilinear parabolic problems.*
Comptes Rendus de l'Académie des Sciences. Série I. Mathématique , 314
(3).
pp. 201-203.
ISSN 0764-4442

## Abstract

We consider the Cauchy problem (1) u(t) = u(xx) + u(p); x Є R, t > 0, p > 1 (2) u(x, 0) = u0 (x), x Є R, where u0(x) is continuous, nonnegative and bounded. Assume that the solution u(x, t) of (1), (2) blows up at x = 0, t = T. We describe here the generic asymptotic behaviour of u(x, t) as (x, t) approaches (0, T).

Item Type: | Article |
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Uncontrolled Keywords: | Blow-up; asymptotic behaviour; Cauchy problem; semilinear parabolic problems |

Subjects: | Sciences > Mathematics > Differential equations |

ID Code: | 18049 |

Deposited On: | 30 Jan 2013 09:51 |

Last Modified: | 12 Dec 2018 15:08 |

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