%0 Journal Article
%T Continuity of the quenching time in a semilinear parabolic equation
%A Th¨¦odore K. Boni
%A Firmin K. N'Gohisse
%J Annales UMCS, Mathematica
%D 2008
%I 
%R 10.2478/v10062-008-0004-4
%X In this paper, we consider the following initial-boundary value problem where   is a bounded domain in RN with smooth boundary   , p > 0, ¦¤ is the Laplacian, v is the exterior normal unit vector on   . 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.
%K Quenching
%K nonlinear parabolic equation
%K numerical quenching time
%U http://versita.metapress.com/content/f333162w004551k4/?p=523a41966257492cbc6073b6c32b0bd5&pi=3