Ratio limit theorem for parabolic horn-shaped domains
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- by Pierre Collet, Servet Martinez and Jaime San Martin PDF
- Trans. Amer. Math. Soc. 358 (2006), 5059-5082 Request permission
Abstract:
We prove that for horn-shaped domains of parabolic type, the ratio of the heat kernel at different fixed points has a limit when the time tends to infinity. We also give an explicit formula for the limit in terms of the harmonic functions.References
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Additional Information
- Pierre Collet
- Affiliation: Centre de Physique Théorique, CNRS-UMR 7644 Ecole Polytechnique, 91128 Palaiseau Cedex, France
- MR Author ID: 50610
- Email: Pierre.Collet@cpht.polytechnique.fr
- Servet Martinez
- Affiliation: CMM-DIM, UMI 2807-CNRS, Universidad de Chile, Casilla 170-3 Correo 3, Santiago, Chile
- MR Author ID: 120575
- Email: smartine@dim.uchile.cl
- Jaime San Martin
- Affiliation: CMM-DIM, UMI 2807-CNRS, Universidad de Chile, Casilla 170-3 Correo 3, Santiago, Chile
- MR Author ID: 265399
- Email: jsanmart@dim.uchile.cl
- Received by editor(s): September 2, 2004
- Received by editor(s) in revised form: November 19, 2004
- Published electronically: June 13, 2006
- © Copyright 2006
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 358 (2006), 5059-5082
- MSC (2000): Primary 60J65, 60J45, 35K05
- DOI: https://doi.org/10.1090/S0002-9947-06-03908-0
- MathSciNet review: 2231885