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Absence of squirt singularities for the multi-phase Muskat problem
(Springer, 2010-10)
In this paper we study the evolution of multiple fluids with different constant densities in porous media. This physical scenario is known as the Muskat and the (multi-phase) Hele-Shaw problems. In this context we prove ...
Tesis Doctoral
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Genericity of the fixed point property under renorming.
(2010-11-25)
Una aplicaci on T de nida de un espacio m etrico M en M se dice no expansiva si d(Tx; Ty) d(x; y) para todo x; y 2 M. Diremos que un espacio de Banach X tiene la Propiedad D ebil del Punto Fijo (w-FPP) si para toda aplicaci ...
Artículo
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Dense-lineability of sets of Birkhoff-universal functions with rapid decay
(Elsevier, 2010-03-01)
Let A be an unbounded Arakelian set in the complex plane whose complement has infinite inscribed radius, and ψ be an increasing positive function on the positive real numbers. We prove the existence of a dense linear ...
Ponencia
Ponencia
Artículo
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Sharp weighted bounds for fractional integral operators
(Elsevier, 2010-09-01)
The relationship between the operator norms of fractional integral operators acting on weighted Lebesgue spaces and the constant of the weights is investigated. Sharp bounds are obtained for both the fractional integral ...
Ponencia
Ponencia
Tesis Doctoral
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Fixed point approximation methods for nonexpansive mappings: optimization problems
(2010)
En esta tesis, se estudia los problemas que aparecen en la conexión entre las teorías de operadores monótonos y aplicaciones no expansivas tanto en espacios lineales como no lineales. El Capítulo 1 está dedicado a diferentes ...
Artículo
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Asymptotic behaviour of nonlocal reaction-diffusion equations
(Elsevier, 2010)
The existence of a global attractor in L^2(Ω) is established for a reaction-diffusion equation on a bounded domain Ω in R^d with Dirichlet boundary conditions, where the reaction term contains an operator F : L^2(Ω) → ...