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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…
math.AP2022★ 1 cited
Instantaneous blowup and singular potentials on Heisenberg groups
Gisele R. Goldstein, Jerome A. Goldstein, Alessia E. Kogoj +2
In this paper we generalize the instantaneous blowup result from [3] and [15] to the heat equation perturbed by singular potentials on the Heisenberg group.