In this paper, we consider the following initial-boundary value problem [...] where Ω is a bounded domain in RN with smooth boundary ∂Ω, p > 0, Δ is the Laplacian, v is the exterior normal unit vector on ∂Ω. Under some assumptions, we show that the solution of the above problem quenches in a finite time and estimate its quenching time. We also prove the continuity of the quenching time as a function of the initial data u0. Finally, we give some numerical results to illustrate our analysis.
@article{bwmeta1.element.doi-10_2478_v10062-008-0004-4,
author = {Th\'eodore Boni and Firmin N'Gohisse},
title = {Continuity of the quenching time in a semilinear parabolic equation},
journal = {Annales UMCS, Mathematica},
volume = {62},
year = {2008},
pages = {37-48},
zbl = {1183.35025},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_v10062-008-0004-4}
}
Théodore Boni; Firmin N'Gohisse. Continuity of the quenching time in a semilinear parabolic equation. Annales UMCS, Mathematica, Tome 62 (2008) pp. 37-48. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_v10062-008-0004-4/
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