Life, span and a new critical exponent for a degenerate parabolic equation

[摘要] In this paper, we consider the positive solution of the Cauchy problem for the equation u(1) = u(P)Deltau + u(q), p > 1, q > 1 and give a secondary critical exponent of the behavior of initial value at infinity for the existence of global and nonglobal solutions of the Cauchy problem. Furthermore, the life span of solutions are also studied. (C) 2004 Published by Elsevier Inc.

[发布日期] 2004-12-15

[关键词] blow-up;life span;global existence;critical exponents;degenerate parabolic equation;slowly decaying initial data;self-solution