Gaussian estimates for Schrödinger perturbations

Krzysztof Bogdan, and Karol Szczypkowski. "Gaussian estimates for Schrödinger perturbations." Studia Mathematica 221.2 (2014): 151-173. <http://eudml.org/doc/285657>.

@article{KrzysztofBogdan2014,
abstract = {We propose a new general method of estimating Schrödinger perturbations of transition densities using an auxiliary transition density as a majorant of the perturbation series. We present applications to Gaussian bounds by proving an optimal inequality involving four Gaussian kernels, which we call the 4G Theorem. The applications come with honest control of constants in estimates of Schrödinger perturbations of Gaussian-type heat kernels and also allow for specific non-Kato perturbations.},
author = {Krzysztof Bogdan, Karol Szczypkowski},
journal = {Studia Mathematica},
keywords = {Schrödinger perturbations; perturbation series; transition density; Gaussian kernel},
language = {eng},
number = {2},
pages = {151-173},
title = {Gaussian estimates for Schrödinger perturbations},
url = {http://eudml.org/doc/285657},
volume = {221},
year = {2014},
}

TY - JOUR
AU - Krzysztof Bogdan
AU - Karol Szczypkowski
TI - Gaussian estimates for Schrödinger perturbations
JO - Studia Mathematica
PY - 2014
VL - 221
IS - 2
SP - 151
EP - 173
AB - We propose a new general method of estimating Schrödinger perturbations of transition densities using an auxiliary transition density as a majorant of the perturbation series. We present applications to Gaussian bounds by proving an optimal inequality involving four Gaussian kernels, which we call the 4G Theorem. The applications come with honest control of constants in estimates of Schrödinger perturbations of Gaussian-type heat kernels and also allow for specific non-Kato perturbations.
LA - eng
KW - Schrödinger perturbations; perturbation series; transition density; Gaussian kernel
UR - http://eudml.org/doc/285657
ER -