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math.AP2024
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…
math.AP2023
On the strong maximum principle for fully nonlinear parabolic equations of second order
Alessandro Goffi
We provide a proof of strong maximum and minimum principles for fully nonlinear uniformly parabolic equations of second order. The approach is of parabolic nature, slightly differs…
math.AP2022
A priori Lipschitz estimates for nonlinear equations with mixed local and nonlocal diffusion via the adjoint-Bernstein method
Alessandro Goffi
We establish a priori Lipschitz estimates for equations with mixed local and nonlocal diffusion, coercive gradient terms and unbounded right-hand side in Lebesgue spaces through an…