THE BLOW-UP BEHAVIOR OF THE HEAT-EQUATION WITH NEUMANN BOUNDARY-CONDITIONS

[摘要] We establish the blow-up rate for the solution of the heat equation u(t) = u(xx), 0 < x < 1, t > 0 subject to Neumann boundary conditions: u(x)(0, t) = 0, u(x)(1, t) = e(u(1,t)) with convex initial data. (C) 1994 Academic Press, Inc.

[发布日期] 1994-12-01