%0 Journal Article
%T Continuity of the quenching time in a semilinear heat equation with a potential
%A BONI
%A TH¨¦ODORE K.
%A KOUAKOU
%A THIBAUT K.
%J Revista Colombiana de Matem¨¢ticas
%D 2009
%I Universidad Nacional de Colombia and Sociedad Colombiana de Matem¨¢ticas
%X in this paper, we consider a semilinear heat equation with a potential subject to neumann boundary conditions and positive initial data. 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 potential and the initial data. finally, we give some numerical results to illustrate our analysis.
%K quenching
%K semilinear heat equation
%K numerical quenching time.
%U http://www.scielo.org.co/scielo.php?script=sci_abstract&pid=S0034-74262009000100006&lng=en&nrm=iso&tlng=en