Encontrados 3 documentos, a visualizar página 1 de 1
Boundary regularity at t=0 for a singular free boundary problem
Henriques, Eurica; Urbano, José MiguelIn this note it is shown that the weak solutions of the Stefan problem for the singular p-Laplacian are continuous up to t = 0. The result is a follow-up to a recent paper of the authors concerning the interior regularity ; CMUC/FCT, Project POCI/MAT/57546/2004; PRODEP-FSE
Intrinsic scaling for pde's with an exponential nonlinearity
Henriques, Eurica; Urbano, José MiguelWe consider strongly degenerate equations in divergence form of the type ∂tu − ∇ • ( ; u ; γ(x,t)∇u)= f , where the exponential nonlinearity satisfies the condition 0 < γ− ≤ γ(x, t) ≤ γ+. We show, by means of intrinsic scaling, that weak solutions are locally continuous. ; CMUC/FCT Project POCTI/34471/MAT/2000; PRODEP-FSE
On the doubly singular equation g(u)t= Dpu
Henriques, Eurica; Urbano, José MiguelWe prove that local weak solutions of a nonlinear parabolic equation with a doubly singular character are locally continuous. One singularity occurs in the time derivative and is due to the presence of a maximal monotone graph; the other comes up in the principal part of the PDE, where the p-Laplace operator is considered. The paper extends to the singular case 1 < p < 2, the results obtained previously by the ...
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