Dependence of the blow‐up time with respect to parameters and numerical approximations for a parabolic problem
Pablo Groisman, Julio Daniel Rossi · Asymptotic Analysis · 2004
We find a bound for the modulus of continuity of the blow‐up time for the problem u t =λΔu+u p , with initial datum u(x,0)=ϕ(x)+hf(x) respect to the parameters λ, p and h. We also find an estimate for the rate of convergence of the blow‐up times for a semi‐discrete numerical scheme.