Exponential coordinates and regularity of groupoid heat kernels

• Autorzy: Bing So
• Języki publikacji: EN

Abstrakty

EN

We prove that on an asymptotically Euclidean boundary groupoid, the heat kernel of the Laplacian is a smooth groupoid pseudo-differential operator.

Słowa kluczowe

EN

Groupoid; Heat kernel; Singular differential operators

Kategorie tematyczne

• 58J05: Elliptic equations on manifolds, general theory
• 58H05: Pseudogroups and differentiable groupoids
• 35S05: Pseudodifferential operators

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2014
• Tom: 12
• Numer: 2
• Strony: 284-297

Daty

wydano

2014-02-01

online

2013-11-21

Twórcy

autor

Bing So

• University of Luxembourg, Campus Kirchberg, BLG

Bibliografia

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• [9] So B.K., Pseudo-Differential Operators, Heat Calculus and Index Theory of Groupoids Satisfying the Lauter-Nistor Condition, PhD thesis, University of Warwick, Warwick, 2010
• [10] So B.K., On the full calculus of pseudo-differential operators on boundary groupoids with polynomial growth, Adv. Math., 2013, 237, 1–32 http://dx.doi.org/10.1016/j.aim.2013.01.001

Identyfikatory

DOI

10.2478/s11533-013-0338-1