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math.AP2020
Sharp and plain estimates for Schrödinger perturbation of Gaussian kernel
Tomasz Jakubowski, Karol Szczypkowski
We investigate whether a fundamental solution of the Schrödinger equation has local in time sharp Gaussian estimates. We compare that class with the class…
math.AP2018
Heat kernels of non-symmetric Lévy-type operators
Tomasz Grzywny, Karol Szczypkowski
We construct the fundamental solution (the heat kernel) to the equation , where under certain assumptions the operator takes one of…