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texto impreso
We study the asymptotic behaviour of nonnegative solutions of the nonlinear diffusion equation in the half-line with a nonlinear boundary condition, ut = uxx ? _(u + 1) logp(u + 1) (x, t) € R+ × (0, T),?ux(0, t) = (u + 1) logq(u + 1)(0, t) t € ([...]texto impreso
Arrieta Algarra, José María ; Ferreira de Pablo, Raúl ; Pablo, Arturo de ; Rossi, Julio D. | American Institute of Mathematical Sciences | 2010In this paper we prove a general result concerning continuity of the blow-up time and the blow-up set for an evolution problem under perturbations. This result is based on some convergence of the perturbations for times smaller than the blow-up [...]texto impreso
Arrieta Algarra, José María ; Rodríguez Bernal, Aníbal ; Rossi, Julio D. | Cambridge University Press | 2008In this paper we prove that the best constant in the Sobolev trace embedding H1() ,! Lq(@) in a bounded smooth domain can be obtained as the limit as " ! 0 of the best constant of the usual Sobolev embedding H1() ,! Lq(!", dx/") where !" = {x 2 [...]
