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Autor Arrieta Algarra, José María |
Documentos disponibles escritos por este autor (34)
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Arrieta Algarra, José María ; Carvalho, Alexandre N. ; Rodríguez Bernal, Aníbal | Elsevier | 1999-08-10We prove existence, uniqueness and regularity of solutions For heat equations with nonlinear boundary conditions. We study these problems with initial data in L-q(Omega), W-1,W-q(Omega), 1![]()
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We continue the analysis started in [3] and announced in [2], studying the behavior of solutions of nonlinear elliptic equations Delta u + f(x, u) = 0 in Omega(epsilon) with nonlinear boundary conditions of type partial derivative u/partial deri[...]![]()
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In this work we study the behavior of a family of solutions of a semilinear elliptic equation, with homogeneous Neumann boundary condition, posed in a two-dimensional oscillating thin region with reaction terms concentrated in a neighborhood of [...]![]()
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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 [...]![]()
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We prove the existence of nonconstant stable stationary solutions of an evolution problem with a nonlinear reaction acting on the boundary. These solutions present layers at certain points of the boundary. We also study the behavior of these sol[...]![]()
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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 [...]![]()
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In this work we study in detail how to adapt the unfolding operator method to thin domains with periodic oscillatory boundaries. We present the unfolding method as a general approach which allows us to analyze the behavior of the solutions of a [...]![]()
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Arrieta Algarra, José María ; Carvalho, Alexandre N. ; Rodríguez Bernal, Aníbal | Elsevier | 2000-11-20The motivations to study the problem considered in this paper come from the theory of composite materials, where the heat diffusion properties can change from one part of the domain to another. Mathematically, this leads to a nonlinear second-or[...]![]()
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Arrieta Algarra, José María ; Bruschi, Simone M. | American Institute of Mathematical Sciences | 2010We continue the analysis started in [3] and announced in [2], studying the behavior of solutions of nonlinear elliptic equations in ? with nonlinear boundary conditions of type , when the boundary of the domain varies very rapidly. We show th[...]