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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.AP2020
Regularity of fundamental solutions for Lévy-type operators
Karol Szczypkowski
For a class of non-symmetric non-local Lévy-type operators , which include those of the form $$ \mathcal{L}^κf(x):= \int_{\mathbb{R}^d}( f(x+z)-f(x)- 1_{|z|<1} \left…