10 papers · 1 filter
Global geometric estimates for the heat equation via duality methods
Alessandro Goffi, Giulio Tralli
We discuss first-order and second-order regularization effects for solutions to the classical heat equation. In particular we propose a global approach to study smoothing effects o…
Hölder regularity and Liouville properties for nonlinear elliptic inequalities with power-growth gradient terms
Alessandro Goffi
This note studies local integral gradient bounds for distributional solutions of a large class of partial differential inequalities with diffusion in divergence form and power-like…
Transport equations with nonlocal diffusion and applications to Hamilton-Jacobi equations
Alessandro Goffi
We investigate regularity and a priori estimates for Fokker-Planck and Hamilton-Jacobi equations with unbounded ingredients driven by the fractional Laplacian of order $s\in(1/2,1)…
A note on the strong maximum principle for fully nonlinear equations on Riemannian manifolds
Alessandro Goffi, Francesco Pediconi
We investigate strong maximum (and minimum) principles for fully nonlinear second order equations on Riemannian manifolds that are non-totally degenerate and satisfy appropriate sc…
Liouville results for fully nonlinear equations modeled on Hörmander vector fields. I. The Heisenberg group
Martino Bardi, Alessandro Goffi
This paper studies Liouville properties for viscosity sub- and supersolutions of fully nonlinear degenerate elliptic PDEs, under the main assumption that the operator has a family…
On the problem of maximal -regularity for viscous Hamilton-Jacobi equations
Marco Cirant, Alessandro Goffi
For , we prove that maximal regularity of type holds for periodic solutions to in , under the (sharp) assumption $q > d \frac{γ-1}γ…