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Near-field asymptotics for the porous medium equation in exterior domains. The critical two-dimensional case.
(2018)
We consider the porous medium equation in an exterior two-dimensional domain that excludes a hole, with zero Dirichlet data on its boundary. Gilding and Goncerzewicz proved in 2007 that in the far-field scale, which is the ...
Stabilization of the wave equation with Neumann boundary condition and localized nonlinear damping
(EUDOXUS PRESS, LLC, 2009)
We show that the solutions of the wave equation with potential, Neumann boundary conditions and a locally distributed nonlinear damping, decay to zero, with an algebraic rate, that is, the total energy E(t) satisfies for ...
INDEFINITE QUASILINEAR ELLIPTIC EQUATIONS IN EXTERIOR DOMAINS WITH EXPONENTIAL CRITICAL GROWTH
(KHAYYAM PUBL CO INCNEW YORK, 2011)
This paper is concerned with the existence of solutions for the quasilinear problem {-div(vertical bar del u vertical bar(N-2) del u) + vertical bar u vertical bar(N-2) u = a(x)g(u) in Omega u = 0 on partial derivative ...
ON THE EXISTENCE OF SOLUTIONS FOR THE NAVIER-STOKES SYSTEM IN A SUM OF WEAK-L-p SPACES
(Amer Inst Mathematical SciencesSpringfieldEUA, 2010)
Resultados de existência de solução para problemas elípticos no espaço das funções de variação limitada
(Universidade Estadual Paulista (Unesp), 2018-02-15)
Neste trabalho mostra-se a existência de solução de variação limitada para um problema envolvendo o operador 1− Laplaciano em um domínio exterior com condição de fronteira de Dirichlet. Para isso, será usada uma versão do ...
Soluções radiais para algumas equações elíticas envolvendo o operador Ornstein-Uhlenbeck em domínios exteriores
(Universidade Federal de Juiz de Fora (UFJF)BrasilICE – Instituto de Ciências ExatasMestrado Acadêmico em MatemáticaUFJF, 2023)
Two-dimensional incompressible viscous flow around a small obstacle
(SpringerNew YorkEUA, 2006)
Fast and slow decay solutions for supercritical elliptic problems in exterior domains
(SPRINGER, 2008-08)
We consider the elliptic problem Delta u + u(p) = 0, u > 0 in an exterior domain, Omega = R-N\D under zero Dirichlet and vanishing conditions, where D is smooth and bounded in R-N, N >= 3, and p is supercritical, namely p ...