Short-time asymptotics of heat kernels for a class of hypoelliptic operators

American Journal of Mathematics ◽

10.1353/ajm.0.0081 ◽

2009 ◽

Vol 131 (6) ◽

pp. 1795-1814 ◽

Author(s):

R. W. Brockett ◽

A. Mansouri

Keyword(s):

Heat Kernels ◽

Hypoelliptic Operators ◽

Short Time Asymptotics ◽

Time Asymptotics ◽

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A CONCRETE APPROACH TO DIAGONAL SHORT TIME ASYMPTOTICS OF HEAT KERNELS ASSOCIATED WITH SUB-LAPLACIAN ON CR MANIFOLDS

Kyushu Journal of Mathematics ◽

10.2206/kyushujm.71.65 ◽

2017 ◽

Vol 71 (1) ◽

pp. 65-84

Author(s):

Hiroki KONDO

Keyword(s):

Heat Kernels ◽

Cr Manifolds ◽

Short Time Asymptotics ◽

Time Asymptotics ◽

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Short-time asymptotics of heat kernels of hypoelliptic Laplacians on unimodular Lie groups

Journal of Functional Analysis ◽

10.1016/j.jfa.2012.02.004 ◽

2012 ◽

Vol 262 (9) ◽

pp. 3891-3928 ◽

Author(s):

C. Séguin ◽

A. Mansouri

Keyword(s):

Heat Kernels ◽

Short Time Asymptotics ◽

Time Asymptotics ◽

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Diagonal short time asymptotics of heat kernels for certain degenerate second order differential operators of Hörmander type

Publications of the Research Institute for Mathematical Sciences ◽

10.2977/prims/1195175195 ◽

1988 ◽

Vol 24 (2) ◽

pp. 169-203 ◽

Author(s):

Satoshi Takanobu

Keyword(s):

Differential Operators ◽

Heat Kernels ◽

Second Order ◽

Short Time Asymptotics ◽

Time Asymptotics ◽

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The short time asymptotics of the traces of the heat kernels for the magnetic Schrödinger operators

Journal of the Mathematical Society of Japan ◽

10.2969/jmsj/04240677 ◽

1990 ◽

Vol 42 (4) ◽

pp. 677-689 ◽

Author(s):

Hiroyuki MATSUMOTO

Keyword(s):

Schrödinger Operators ◽

Heat Kernels ◽

Schrodinger Operators ◽

Short Time Asymptotics ◽

Time Asymptotics ◽

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Short Time Asymptotics of Random Heat Kernels

Control of Distributed Parameter and Stochastic Systems - IFIP Advances in Information and Communication Technology ◽

10.1007/978-0-387-35359-3_28 ◽

1999 ◽

pp. 231-238

Author(s):

Hiroshi Kunita

Keyword(s):

Heat Kernels ◽

Short Time Asymptotics ◽

Time Asymptotics ◽

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Short-time asymptotics

Graduate Studies in Mathematics - Stochastic Analysis on Manifolds ◽

10.1090/gsm/038/06 ◽

2002 ◽

pp. 129-156

Author(s):

Elton Hsu

Keyword(s):

Short Time Asymptotics ◽

Time Asymptotics ◽

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Short Time Asymptotics and an Approximation for the Heat Kernel of a Singular Diffusion

Itô’s Stochastic Calculus and Probability Theory ◽

10.1007/978-4-431-68532-6_8 ◽

1996 ◽

pp. 129-139

Author(s):

Yasuji Hashimoto ◽

Shojiro Manabe ◽

Yukio Ogura

Keyword(s):

Heat Kernel ◽

Short Time Asymptotics ◽

Time Asymptotics ◽

Singular Diffusion ◽

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On the heat kernel of a class of fourth order operators in two dimensions: Sharp Gaussian estimates and short time asymptotics

Journal of Differential Equations ◽

10.1016/j.jde.2018.06.034 ◽

2018 ◽

Vol 265 (10) ◽

pp. 5237-5261

Author(s):

G. Barbatis ◽

P. Branikas

Keyword(s):

Heat Kernel ◽

Fourth Order ◽

Two Dimensions ◽

Short Time Asymptotics ◽

Time Asymptotics ◽

Gaussian Estimates

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Short—time Asymptotics of the Heat Kernel of the Laplacian for a Multiply-connected Domain inR2with Robin Boundary Conditions

Applicable Analysis ◽

10.1080/00036810108840902 ◽

2001 ◽

Vol 77 (1-2) ◽

pp. 177-194 ◽

Author(s):

E.M.E. Zayed

Keyword(s):

Boundary Conditions ◽

Heat Kernel ◽

Connected Domain ◽

Robin Boundary Conditions ◽

Multiply Connected Domain ◽

Multiply Connected ◽

Short Time Asymptotics ◽

Time Asymptotics ◽

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Short-time asymptotics in Dirichlet spaces

Communications on Pure and Applied Mathematics ◽

10.1002/1097-0312(200103)54:3<259::aid-cpa1>3.0.co;2-k ◽

2001 ◽

Vol 54 (3) ◽

pp. 259-293 ◽

Author(s):

Jos� A. Ram�rez

Keyword(s):

Dirichlet Spaces ◽

Short Time Asymptotics ◽

Time Asymptotics ◽

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