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Friedman, Avner and Herrero, Miguel A.
(1987)
*Extinction properties of semilinear heat-equations with strong absorption.*
Journal of Mathematical Analysis and Applications, 124
(2).
pp. 530-546.
ISSN 0022-247X

PDF
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Official URL: http://www.sciencedirect.com/science/article/pii/0022247X87900138

## Abstract

Consider the initial-boundary value problem for ut=Δu-λu(q) with λ>0, 0<q<1; the initial data are nonnegative and the boundary data vanish. It is well known that the solution becomes extinct in finite time Τ, i.e., u(x, t) becomes identically zero for t ≥ T, where T is some positive number. In this paper we study the profile of x → u(x, t) as t → T.

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

Uncontrolled Keywords: | Semilinear; strong absorption; initial-boundary value problem; initial data; nonnegative |

Subjects: | Sciences > Mathematics > Differential equations |

ID Code: | 17584 |

Deposited On: | 10 Jan 2013 09:56 |

Last Modified: | 12 Dec 2018 15:08 |

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