Blow-up for a degenerate diffusion problem not in divergence form

We study the behaviour of solutions of the nonlinear diffusion equation in the half-line, ℝ+ = (0, ∞), with a nonlinear boundary condition, {ut = uuxx, (x, t) ∈ ℝ+ (0, T), -ux(0,t) = up(0,t), t ∈ (0,T), u(x,0) = u0(x), x ∈ ℝ+ with p > 0. We describe, in terms of p and the initial datum, when...

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Publicado: 2006
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Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00222518_v55_n3_p955_Ferreira
http://hdl.handle.net/20.500.12110/paper_00222518_v55_n3_p955_Ferreira
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