M. Porfido

most citedGeneral Kernel estimates of Schrödinger type operators with unbounded diffusion terms

1 citations · 1 across the 4 of their papers we have counts for

collaborators

4 papers

math.AP2024

Kernel estimates for parabolic systems of partial differential equations with unbounded coefficients

Davide Addona, Luca Lorenzi, Marianna Porfido

We provide pointwise upper bounds for the transition kernels of semigroups associated with a class of systems of nondegenerate elliptic partial differential equations with unbounde…

math.DS2024

Kernel estimates for a class of fractional Kolmogorov operators

Marianna Porfido, Abdelaziz Rhandi, Cristian Tacelli

Assuming a weighted Nash type inequality for the generator $- A$ of a Markov semigroup, we prove a weighted Nash type inequality for its fractional power and deduce non-uniform boun…

math.AP2022

Bounds for the gradient of the transition kernel for elliptic operators with unbounded diffusion, drift and potential term

Markus Kunze, Marianna Porfido, Abdelaziz Rhandi

We prove global Sobolev regularity and pointwise upper bounds for the gradient of transition densities associated with second order differential operators in $R^{d}$ with un…

math.AP2022★ 1 cited

General Kernel estimates of Schrödinger type operators with unbounded diffusion terms

Loredana Caso, Markus Kunze, Marianna Porfido +1

We prove first that the realization $A_{m i n}$ of $A := div (Q \nabla) - V$ in $L^{2} (R^{d})$ with unbounded coefficients generates a symmetric sub-Markovian and ultracontr…