On the Schrödinger heat kernel in horn-shaped domains

Gabriele Grillo. "On the Schrödinger heat kernel in horn-shaped domains." Colloquium Mathematicae 99.2 (2004): 145-155. <http://eudml.org/doc/284478>.

@article{GabrieleGrillo2004,
abstract = {We prove pointwise lower bounds for the heat kernel of Schrödinger semigroups on Euclidean domains under Dirichlet boundary conditions. The bounds take into account non-Gaussian corrections for the kernel due to the geometry of the domain. The results are applied to prove a general lower bound for the Schrödinger heat kernel in horn-shaped domains without assuming intrinsic ultracontractivity for the free heat semigroup.},
author = {Gabriele Grillo},
journal = {Colloquium Mathematicae},
keywords = {Dirichlet heat kernel; Schrödinger operator; Horn-shaped domain; Brownian bridge},
language = {eng},
number = {2},
pages = {145-155},
title = {On the Schrödinger heat kernel in horn-shaped domains},
url = {http://eudml.org/doc/284478},
volume = {99},
year = {2004},
}

TY - JOUR
AU - Gabriele Grillo
TI - On the Schrödinger heat kernel in horn-shaped domains
JO - Colloquium Mathematicae
PY - 2004
VL - 99
IS - 2
SP - 145
EP - 155
AB - We prove pointwise lower bounds for the heat kernel of Schrödinger semigroups on Euclidean domains under Dirichlet boundary conditions. The bounds take into account non-Gaussian corrections for the kernel due to the geometry of the domain. The results are applied to prove a general lower bound for the Schrödinger heat kernel in horn-shaped domains without assuming intrinsic ultracontractivity for the free heat semigroup.
LA - eng
KW - Dirichlet heat kernel; Schrödinger operator; Horn-shaped domain; Brownian bridge
UR - http://eudml.org/doc/284478
ER -