Zobrazeno 1 - 10
of 74
pro vyhledávání: '"Goffi, Alessandro"'
Autor:
Goffi, Alessandro
We establish a linear $L^p$ rate of convergence, $1
Externí odkaz:
http://arxiv.org/abs/2412.15651
Autor:
Goffi, Alessandro, Tralli, Giulio
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 of Hamilton-Li-Yau type: such approach is nonlinear in spirit and it is
Externí odkaz:
http://arxiv.org/abs/2409.15456
Autor:
Goffi, Alessandro
We show by the maximum principle parabolic interior Schauder estimates for a special class of fully nonlinear parabolic Isaacs equations, providing an Evans-Krylov result for the model equation $\min\{\inf_{\beta}L_\beta u,\sup_\gamma L_\gamma u\}-\p
Externí odkaz:
http://arxiv.org/abs/2406.12427
Autor:
Goffi, Alessandro
We establish local H\"older estimates for viscosity solutions of fully nonlinear second order equations with quadratic growth in the gradient and unbounded right-hand side in $L^q$ spaces, for an integrability threshold $q$ guaranteeing the validity
Externí odkaz:
http://arxiv.org/abs/2312.03522
Autor:
Goffi, Alessandro, Leonori, Tommaso
This work addresses the problem of (global) maximal regularity for quasilinear evolution equations with sublinear gradient growth and right-hand side in Lebesgue spaces, complemented with Neumann boundary conditions. The proof relies on a suitable va
Externí odkaz:
http://arxiv.org/abs/2310.15949
We provide some new integral estimates for solutions to Hamilton-Jacobi equations and we discuss several consequences, ranging from $L^p$-rates of convergence for the vanishing viscosity approximation to regularizing effects for the Cauchy problem in
Externí odkaz:
http://arxiv.org/abs/2307.12932
Autor:
Goffi, Alessandro
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 from the earlier one proposed by L. Nirenberg and does not exploit th
Externí odkaz:
http://arxiv.org/abs/2307.12929
Autor:
Goffi, Alessandro
This paper studies a priori and regularity estimates of Evans-Krylov type in H\"older spaces for fully nonlinear uniformly elliptic and parabolic equations of second order when the operator fails to be concave or convex in the space of symmetric matr
Externí odkaz:
http://arxiv.org/abs/2305.17121
Autor:
Goffi, Alessandro
Publikováno v:
Bull. London Math. Soc. 2024 56;1385-1398
In this note, we prove interior a priori first- and second-order estimates for solutions of fully nonlinear degenerate elliptic inequalities structured over the vector fields of Carnot groups, under the main assumption that $u$ is semiconvex along th
Externí odkaz:
http://arxiv.org/abs/2305.17122
This paper studies global a priori gradient estimates for divergence-type equations patterned over the $p$-Laplacian with first-order terms having polynomial growth with respect to the gradient, under suitable integrability assumptions on the source
Externí odkaz:
http://arxiv.org/abs/2211.03760