Qualitative properties of solutions to semilinear heat equations with singular initial data

Date
2004-04-08
Authors
Li, Junjie
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
This article concerns the nonnegative solutions to the Cauchy problem ut - ∆u + b(x, t) |u|p-1 u = 0 in ℝN x (0, ∞), u(x, 0) = u0(x) in ℝN. We investigate how the comparison principle, extinction in finite time, instantaneous shrinking of support, and existence of solutions depend on the behaviour of the coefficient b(x, t).
Description
Keywords
Comparison principle, Extinction, Shrinking of support, Existence
Citation
Li, J. (2004). Qualitative properties of solutions to semilinear heat equations with singular initial data. <i>Electronic Journal of Differential Equations, 2004</i>(53), pp. 1-12.