Key points are not available for this paper at this time.
In this article various extensions of an old result of Fujita are considered for the initial value problem for the reaction-diffusion equation uₜ = \ u + uᵖ in RN with p > 1 and nonnegative initial values. Fujita showed that if 1 1 + 2 / N, there were nontrivial global solutions. This paper discusses similar results for other geometries and other equations including a nonlinear wave equation and a nonlinear Schrödinger equation.
Howard A. Levine (Fri,) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: