Heat kernel estimates for pseudodifferential operators, fractional Laplacians and Dirichlet-to-Neumann operators

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Standard

Heat kernel estimates for pseudodifferential operators, fractional Laplacians and Dirichlet-to-Neumann operators. / Gimperlein, Heiko; Grubb, Gerd.

I: Journal of Evolution Equations, Bind 14, 2014, s. 49-83.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Gimperlein, H & Grubb, G 2014, 'Heat kernel estimates for pseudodifferential operators, fractional Laplacians and Dirichlet-to-Neumann operators', Journal of Evolution Equations, bind 14, s. 49-83. https://doi.org/10.1007/s00028-013-0206-2

APA

Gimperlein, H., & Grubb, G. (2014). Heat kernel estimates for pseudodifferential operators, fractional Laplacians and Dirichlet-to-Neumann operators. Journal of Evolution Equations, 14, 49-83. https://doi.org/10.1007/s00028-013-0206-2

Vancouver

Gimperlein H, Grubb G. Heat kernel estimates for pseudodifferential operators, fractional Laplacians and Dirichlet-to-Neumann operators. Journal of Evolution Equations. 2014;14:49-83. https://doi.org/10.1007/s00028-013-0206-2

Author

Gimperlein, Heiko ; Grubb, Gerd. / Heat kernel estimates for pseudodifferential operators, fractional Laplacians and Dirichlet-to-Neumann operators. I: Journal of Evolution Equations. 2014 ; Bind 14. s. 49-83.

Bibtex

@article{c5944007de6d469db33009756e1c3535,
title = "Heat kernel estimates for pseudodifferential operators, fractional Laplacians and Dirichlet-to-Neumann operators",
abstract = "The purpose of this article is to establish upper and lower estimates for the integral kernel of the semigroup exp(−t P) associated to a classical, strongly elliptic pseudodifferential operator P of positive order on a closed manifold. The Poissonian bounds generalize those obtained for perturbations of fractional powers of the Laplacian. In the selfadjoint case, extensions to t∈C+  are studied. In particular, our results apply to the Dirichlet-to-Neumann semigroup.",
author = "Heiko Gimperlein and Gerd Grubb",
year = "2014",
doi = "10.1007/s00028-013-0206-2",
language = "English",
volume = "14",
pages = "49--83",
journal = "Journal of Evolution Equations",
issn = "1424-3199",
publisher = "Springer Basel AG",

}

RIS

TY - JOUR

T1 - Heat kernel estimates for pseudodifferential operators, fractional Laplacians and Dirichlet-to-Neumann operators

AU - Gimperlein, Heiko

AU - Grubb, Gerd

PY - 2014

Y1 - 2014

N2 - The purpose of this article is to establish upper and lower estimates for the integral kernel of the semigroup exp(−t P) associated to a classical, strongly elliptic pseudodifferential operator P of positive order on a closed manifold. The Poissonian bounds generalize those obtained for perturbations of fractional powers of the Laplacian. In the selfadjoint case, extensions to t∈C+  are studied. In particular, our results apply to the Dirichlet-to-Neumann semigroup.

AB - The purpose of this article is to establish upper and lower estimates for the integral kernel of the semigroup exp(−t P) associated to a classical, strongly elliptic pseudodifferential operator P of positive order on a closed manifold. The Poissonian bounds generalize those obtained for perturbations of fractional powers of the Laplacian. In the selfadjoint case, extensions to t∈C+  are studied. In particular, our results apply to the Dirichlet-to-Neumann semigroup.

U2 - 10.1007/s00028-013-0206-2

DO - 10.1007/s00028-013-0206-2

M3 - Journal article

VL - 14

SP - 49

EP - 83

JO - Journal of Evolution Equations

JF - Journal of Evolution Equations

SN - 1424-3199

ER -

ID: 95322829