Asymptotic simplification for a reaction-diffusion problem with a nonlinear boundary condition

We study non-negative solutions of the porous medium equation with a source and a nonlinear flux boundary condition, ut = (um)xx + up in (0, ∞) × (0, T); -(um)x (0, t) = uq(0, t) for t ∈ (0, T); u(x, 0) = u0(x) in (0, ∞), where m > 1, p, q > 0 are parameters. For every fixed m we prove...

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Publicado: 2002
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Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02724960_v67_n1_p69_DePablo
http://hdl.handle.net/20.500.12110/paper_02724960_v67_n1_p69_DePablo
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