Qualitative properties of solutions to semilinear heat equations with singular initial data
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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).
CitationLi, J. (2004). Qualitative properties of solutions to semilinear heat equations with singular initial data. Electronic Journal of Differential Equations, 2004(53), pp. 1-12.
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