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- W2061601251 abstract "The object of this paper is to study the existence of a nonnegative solution of the Cauchy problem ut =div(|Vu|p-2Vu)-u«, u(x,0)=0 if i # 0, which is more singular at (0,0) than the fundamental solution of the corre- sponding equation without the absorption term. when 1 1. By this was meant a solution W(x,t) with the properties (i) W > 0 in S; (ii) W is smooth in S, except at (0,0); (iii) W(x,0) = 0 for all x E RN, except at x = 0; (iv) W is more singular at the origin than the fundamental solution E of the heat equation, specifically" @default.
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- W2061601251 date "1988-02-01" @default.
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- W2061601251 title "A very singular solution of a quasilinear degenerate diffusion equation with absorption" @default.
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- W2061601251 doi "https://doi.org/10.1090/s0002-9947-1988-0940229-6" @default.
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