Single point blow-up and regional blow-up of solutions for a degenerate semilinear parabolic equation

摘要

Let q≥0, p≥0, T≤+∞, D(0, a), D{top}-[0, a], ΩD×(0, T). This article considers the following degenerate semilinear parabolic initial-boundary value problem, x~qu_t-u_(xx)=x~pu~m, in (0, a)×(0, t); u(0, t)=u(a, t)=0, for t >0; u(x, 0)=u_0(x) on D{top}-. Where a≥0 be constants. We obtained the blow up set and find the conditions of single point blow-up.