Geodesic
On the Schrödinger heat kernel in horn-shaped domains
Gabriele Grillo1
1 Dipartimento di Matematica Politecnico di Torino Corso Duca degli Abruzzi 24 10129 Torino, Italy
Colloquium Mathematicum, Tome 99 (2004) no. 2, pp. 145-155.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/cm99-2-1
Keywords: prove pointwise lower bounds heat kernel schr dinger semigroups euclidean domains under dirichlet boundary conditions bounds account non gaussian corrections kernel due geometry domain results applied prove general lower bound schr dinger heat kernel horn shaped domains without assuming intrinsic ultracontractivity heat semigroup

Gabriele Grillo 1

1 Dipartimento di Matematica Politecnico di Torino Corso Duca degli Abruzzi 24 10129 Torino, Italy 
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Gabriele Grillo. On the Schrödinger heat kernel in horn-shaped domains. Colloquium Mathematicum, Tome 99 (2004) no. 2, pp. 145-155. doi : 10.4064/cm99-2-1. http://geodesic.mathdoc.fr/articles/10.4064/cm99-2-1/

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