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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.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 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 of in with unbounded coefficients generates a symmetric sub-Markovian and ultracontr…