Publications (21)
Optimal Existence and Uniqueness Theory for the Fractional Heat Equation
Matteo Bonforte, Yannick Sire, Juan Luis Vazquez
Sharp rates of decay of solutions to the nonlinear fast diffusion equation via functional inequalities
Matteo Bonforte, Jean Dolbeault, Gabriele Grillo +1
Classification of radial solutions to the Emden-Fowler equation on the hyperbolic space
Matteo Bonforte, Filippo Gazzola, Gabriele Grillo +1
Infinite speed of propagation and regularity of solutions to the fractional porous medium equation in general domains
Matteo Bonforte, Alessio Figalli, Xavier Ros-Oton
Weighted fast diffusion equations (Part I): Sharp asymptotic rates without symmetry and symmetry breaking in Caffarelli-Kohn-Nirenberg inequalities
Matteo Bonforte, Jean Dolbeault, Matteo Muratori +1
Sharp global estimates for local and nonlocal porous medium-type equations in bounded domains
Matteo Bonforte, Alessio Figalli, Juan Luis Vazquez
Quantitative Local Bounds for Subcritical Semilinear Elliptic Equations
Matteo Bonforte, Gabriele Grillo, Juan Luis Vazquez
Positivity, local smoothing, and Harnack inequalities for very fast diffusion equations
Matteo Bonforte, Juan Luis Vazquez
Asymptotics of the fast diffusion equation via entropy estimates
Adrien Blanchet, Matteo Bonforte, Jean Dolbeault +2
Sharp boundary behaviour of solutions to semilinear nonlocal elliptic equations
Matteo Bonforte, Alessio Figalli, Juan Luis Vazquez
Fractional Nonlinear Degenerate Diffusion Equations on Bounded Domains Part I. Existence, Uniqueness and Upper Bounds
Matteo Bonforte, Juan Luis Vázquez
Total Variation Flow and Sign Fast Diffusion in one dimension
Matteo Bonforte, Alessio Figalli
Weighted fast diffusion equations (Part II): Sharp asymptotic rates of convergence in relative error by entropy methods
Matteo Bonforte, Jean Dolbeault, Matteo Muratori +1
Non-existence and instantaneous extinction of solutions for singular nonlinear fractional diffusion equations
Matteo Bonforte, Antonio Segatti, Juan Luis Vazquez
A Priori Estimates for Fractional Nonlinear Degenerate Diffusion Equations on bounded domains
Matteo Bonforte, Juan Luis Vázquez
Quantitative a Priori Estimates for Fast Diffusion Equations with Caffarelli-Kohn-Nirenberg weights. Harnack inequalities and Hölder continuity
Matteo Bonforte, Nikita Simonov
Behaviour near extinction for the Fast Diffusion Equation on bounded domains
Matteo Bonforte, Gabriele Grillo, Juan Luis Vazquez
Sharp Extinction Rates for Fast Diffusion Equations on Generic Bounded Domains
Matteo Bonforte, Alessio Figalli
Existence, Uniqueness and Asymptotic behaviour for fractional porous medium equations on bounded domains
Matteo Bonforte, Yannick Sire, Juan Luis Vazquez
Quantitative Local and Global A Priori Estimates for Fractional Nonlinear Diffusion Equations
Matteo Bonforte, Juan Luis Vazquez
Special fast diffusion with slow asymptotics. Entropy method and flow on a Riemannian manifold
Matteo Bonforte, Gabriele Grillo, Juan Luis Vazquez