BLOW-UP TIME OF SOLUTIONS FOR
SOME NONLINEAR PARABOLIC EQUATIONS
Abstract. In this paper, we consider the following initial-boundary value problem

where , , for , is a positive parameter, is a bounded domain in with smooth boundary , is positive, nondecreasing, convex function for positive values of and . We show that if is small enough, the solution of the above problem blows up in a finite time and its blow-up time tends to the one of the solution of the following differential equation

as goes to zero, where .

Finally, we give some numerical results to illustrate our analysis.

AMS Subject Classification: 35B40, 35B50, 35K60, 65M06