Juan Luis
Vázquez
Publications by the researcher in collaboration with Juan Luis Vázquez (14)
2023
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Evolution driven by the infinity fractional Laplacian
Calculus of Variations and Partial Differential Equations, Vol. 62, Núm. 4
2021
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The one-phase fractional Stefan problem
Mathematical Models and Methods in Applied Sciences, Vol. 31, Núm. 1, pp. 83-131
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Three representations of the fractional p-Laplacian: Semigroup, extension and Balakrishnan formulas
Fractional Calculus and Applied Analysis, Vol. 24, Núm. 4, pp. 966-1002
2020
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Estimates on translations and Taylor expansions in fractional Sobolev spaces
Nonlinear Analysis, Theory, Methods and Applications, Vol. 200
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On the two-phase fractional stefan problem
Advanced Nonlinear Studies, Vol. 20, Núm. 2, pp. 437-458
2019
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Existence of Weak Solutions for a General Porous Medium Equation with Nonlocal Pressure
Archive for Rational Mechanics and Analysis, Vol. 233, Núm. 1, pp. 451-496
2018
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Porous medium equation with nonlocal pressure
Springer Optimization and Its Applications (Springer International Publishing), pp. 277-308
2016
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Finite and infinite speed of propagation for porous medium equations with nonlocal pressure
Journal of Differential Equations, Vol. 260, Núm. 2, pp. 1154-1199
2015
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Transformations of self-similar solutions for porous medium equations of fractional type
Nonlinear Analysis, Theory, Methods and Applications, Vol. 119, pp. 62-73
2014
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Finite and infinite speed of propagation for porous medium equations with fractional pressure
Comptes Rendus Mathematique, Vol. 352, Núm. 2, pp. 123-128
2006
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Classification of blow-up with nonlinear diffusion and localized reaction
Journal of Differential Equations, Vol. 231, Núm. 1, pp. 195-211
2003
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Study of self-similarity for the fast-diffusion equation
Advances in Differential Equations, Vol. 8, Núm. 9, pp. 1125-1152
2002
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Uniqueness of asymptotic profiles for an extinction problem
Nonlinear Analysis, Theory, Methods and Applications, Vol. 50, Núm. 4, pp. 495-507
2001
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Extinction behaviour for fast diffusion equations with absorption
Nonlinear Analysis, Theory, Methods and Applications, Vol. 43, Núm. 8, pp. 943-985