Schroedinger operators on exterior domains with Robin boundary conditions: heat kernel estimates

Hynek Kovarik; Delio Mugnolo

doi:10.1007/s11118-017-9629-7

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arXiv · 1604.02436

Schroedinger operators on exterior domains with Robin boundary conditions: heat kernel estimates

Hynek Kovarik·Delio Mugnolo

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Abstract

We study Schroedinger operators with Robin boundary conditions on exterior domains in $\R^d$. We prove sharp point-wise estimates for the associated semi-groups which show, in particular, how the boundary conditions affect the time decay of the heat kernel in dimensions one and two. Applications to spectral estimates are discussed as well.

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BibTeX RIS

Hynek Kovarik, Delio Mugnolo. 2016-04-08. Schroedinger operators on exterior domains with Robin boundary conditions: heat kernel estimates. https://doi.org/10.1007/s11118-017-9629-7

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