Improved heat kernel bounds for certain magnetic Schrödinger operators

Proceedings of the American Mathematical Society ◽

10.1090/proc/14845 ◽

2020 ◽

Vol 148 (4) ◽

pp. 1671-1677

Author(s):

The Anh Bui ◽

Fu Ken Ly

Keyword(s):

Heat Kernel ◽

Schrödinger Operators ◽

Schrodinger Operators ◽

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Heat Kernel Estimates for Schrödinger Operators on Exterior Domains with Robin Boundary Conditions

Potential Analysis ◽

10.1007/s11118-017-9629-7 ◽

2017 ◽

Vol 48 (2) ◽

pp. 159-180 ◽

Author(s):

Hynek Kovařík ◽

Delio Mugnolo

Keyword(s):

Boundary Conditions ◽

Heat Kernel ◽

Schrödinger Operators ◽

Schrodinger Operators ◽

Robin Boundary Conditions ◽

Exterior Domains ◽

Kernel Estimates ◽

Heat Kernel Estimates ◽

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Heat Kernel Coefficients for Two-Dimensional Schrödinger Operators

Communications in Mathematical Physics ◽

10.1007/s00220-008-0538-x ◽

2008 ◽

Vol 283 (3) ◽

pp. 853-860 ◽

Author(s):

Yuri Berest ◽

Tim Cramer ◽

Farkhod Eshmatov

Keyword(s):

Heat Kernel ◽

Schrödinger Operators ◽

Schrodinger Operators ◽

Two Dimensional

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Heat kernel asymptotics for magnetic Schrödinger operators

Journal of Mathematical Physics ◽

10.1063/1.4829061 ◽

2013 ◽

Vol 54 (11) ◽

pp. 112104 ◽

Author(s):

Jens Bolte ◽

Stefan Keppeler

Keyword(s):

Heat Kernel ◽

Schrödinger Operators ◽

Schrodinger Operators ◽

Heat Kernel Asymptotics

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Ultracontractivity and the heat kernel for Schrödinger operators and Dirichlet Laplacians

Journal of Functional Analysis ◽

10.1016/0022-1236(84)90076-4 ◽

1984 ◽

Vol 59 (2) ◽

pp. 335-395 ◽

Author(s):

E.B Davies ◽

B Simon

Keyword(s):

Heat Kernel ◽

Schrödinger Operators ◽

Schrodinger Operators

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Heat-kernel and Resolvent Asymptotics for Schrodinger Operators on Metric Graphs

Applied Mathematics Research eXpress ◽

10.1093/amrx/abu009 ◽

2014 ◽

Author(s):

J. Bolte ◽

S. Egger ◽

R. Rueckriemen

Keyword(s):

Heat Kernel ◽

Schrödinger Operators ◽

Schrodinger Operators ◽

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Critical heat kernel estimates for Schrödinger operators via Hardy–Sobolev inequalities

Journal of Functional Analysis ◽

10.1016/j.jfa.2003.10.002 ◽

2004 ◽

Vol 208 (1) ◽

pp. 1-30 ◽

Author(s):

G. Barbatis ◽

S. Filippas ◽

A. Tertikas

Keyword(s):

Heat Kernel ◽

Schrödinger Operators ◽

Schrodinger Operators ◽

Sobolev Inequalities ◽

Kernel Estimates ◽

Heat Kernel Estimates

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Heat Kernel Estimates of Fractional Schrödinger Operators with Negative Hardy Potential

Potential Analysis ◽

10.1007/s11118-019-09795-7 ◽

2019 ◽

Vol 53 (3) ◽

pp. 997-1024

Author(s):

Tomasz Jakubowski ◽

Jian Wang

Keyword(s):

Heat Kernel ◽

Schrödinger Operators ◽

Schrodinger Operators ◽

Hardy Potential ◽

Kernel Estimates ◽

Heat Kernel Estimates

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Optimal heat kernel estimates for schrödinger operators with magnetic fields in two dimensions

Communications in Mathematical Physics ◽

10.1007/bf02885674 ◽

1997 ◽

Vol 186 (1) ◽

pp. 95-107 ◽

Author(s):

Michael Loss ◽

Bernd Thaller

Keyword(s):

Magnetic Fields ◽

Heat Kernel ◽

Schrödinger Operators ◽

Two Dimensions ◽

Schrodinger Operators ◽

Kernel Estimates ◽

Optimal Heat ◽

Heat Kernel Estimates

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An Estimate on the Heat Kernel of Magnetic Schrödinger Operators and Uniformly Elliptic Operators with Non-Negative Potentials

Journal of the London Mathematical Society ◽

10.1112/s002461070000137x ◽

2000 ◽

Vol 62 (3) ◽

pp. 885-903 ◽

Author(s):

Kazuhiro Kurata

Keyword(s):

Heat Kernel ◽

Schrödinger Operators ◽

Elliptic Operators ◽

Schrodinger Operators

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Regularity properties of the heat kernel and area integral characterization of Hardy space HL1 related to degenerate Schrödinger operators

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2018.06.008 ◽

2018 ◽

Vol 466 (1) ◽

pp. 447-470 ◽

Author(s):

Jizheng Huang ◽

Pengtao Li ◽

Yu Liu

Keyword(s):

Hardy Space ◽

Heat Kernel ◽

Schrödinger Operators ◽

Schrodinger Operators ◽

Area Integral ◽

Regularity Properties

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