Juan Luis Vazquez
- Positivity, local smoothing, and Harnack inequalities for very fast diffusion equations
2008/05/30 by Matteo Bonforte, Bonforte, Matteo, Juan Luis Vazquez +1 · 4 citations
Computer Science · Mathematics · #35B45 #35B65 #35K55 #35K65 #Advanced Mathematical Modeling in Engineering #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #math.AP #msc:35B45 #msc:35B65 #msc:35K55 #msc:35K65
- A fractional porous medium equation
2010/01/14 by Arturo de Pablo, de Pablo, Arturo, Fernando Quiros +5 · 4 citations
Mathematics · #26A33 #35K55 #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP #msc:26A33 #msc:35K55
- Existence, Uniqueness and Asymptotic behaviour for fractional porous medium equations on bounded domains
2014/04/24 by Matteo Bonforte, Bonforte, Matteo, Yannick Sire +3 · 4 citations
Computer Science · Mathematics · #35A01 #35A02 #35B40 #35K55 #35K61 #35K65 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #Nonlinear Partial Differential Equations #math.AP #msc:35A01 #msc:35A02 #msc:35B40 #msc:35K55 #msc:35K61 #msc:35K65
- Asymptotic behaviour of a porous medium equation with fractional diffusion
2010/04/07 by Luis Caffarelli, Caffarelli, Luis, Juan Luis Vazquez +1 · 3 citations
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Fractional Differential Equations Solutions #Nonlinear Partial Differential Equations #math.AP #msc:26A33. #msc:35B40 #msc:35J87 #msc:35K55 #msc:35K65
- Fundamental solution and long time behaviour of the Porous Medium Equation in Hyperbolic Space
2014/08/24 by Juan Luis Vazquez, Vazquez, Juan Luis · 4 citations
Mathematics · Physics and Astronomy · #35B40 #35K55 #35K65 #58J35 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Differential Equations and Numerical Methods #FOS: Mathematics #Nonlinear Waves and Solitons #math.AP #msc:35B40 #msc:35K55 #msc:35K65 #msc:58J35
- Behaviour near extinction for the Fast Diffusion Equation on bounded domains
2010/12/03 by Matteo Bonforte, Bonforte, Matteo, Gabriele Grillo +3 · 1 citation
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Differential Equations and Numerical Methods #Nonlinear Partial Differential Equations #math.AP
- Barenblatt solutions and asymptotic behaviour for a nonlinear fractional heat equation of porous medium type
2012/05/29 by Juan Luis Vazquez, Vazquez, Juan Luis · 1 citation
Mathematics · #26A33 #35A05 #35K65 #35S10 #76S05 #Analysis of PDEs (math.AP) #FOS: Mathematics #Fractional Differential Equations Solutions #Nonlinear Partial Differential Equations #Numerical methods in inverse problems #math.AP #msc:26A33 #msc:35A05 #msc:35K65 #msc:35S10 #msc:76S05
- Quantitative Local and Global A Priori Estimates for Fractional Nonlinear Diffusion Equations
2012/10/09 by Matteo Bonforte, Bonforte, Matteo, Juan Luis Vazquez +1 · 1 citation
Computer Science · Mathematics · #35B45 #35B65 #35K55 #35K65 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Fractional Differential Equations Solutions #Nonlinear Differential Equations Analysis #Nonlinear Partial Differential Equations #math.AP #msc:35B45 #msc:35B65 #msc:35K55 #msc:35K65
- Symmetrization for fractional elliptic and parabolic equations and an isoperimetric application
2015/06/23 by Yannick Sire, Juan Luis Vazquez, Sire, Yannick +3 · 1 citation
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP
- Regularity of solutions of the fractional porous medium flow
2012/01/29 by Luis Caffarelli, Caffarelli, Luis, Fernando Soria +3 · 1 citation
Mathematics · #35K55 #35K65 #76S05 #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP #msc:35K55 #msc:35K65 #msc:76S05