In this paper, we consider an initial-boundary value problem. 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 datum and a potential. Finally, we give some numerical
results to illustrate our analysis.
JEL classification numbers: 35B40, 35B50, 35K60, 65M06
nonlinear parabolic equation, numerical quenching.