Ratio limit theorem for parabolic horn-shaped domains
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. © 2006 American Mathematical Society.
Más información
| Título según WOS: | Ratio limit theorem for parabolic horn-shaped domains |
| Título según SCOPUS: | Ratio limit theorem for parabolic horn-shaped domains |
| Título de la Revista: | TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY |
| Volumen: | 358 |
| Número: | 11 |
| Editorial: | AMER MATHEMATICAL SOC |
| Fecha de publicación: | 2006 |
| Página de inicio: | 5059 |
| Página final: | 5082 |
| Idioma: | English |
| URL: | http://www.ams.org/journal-getitem?pii=S0002-9947-06-03908-0 |
| DOI: |
10.1090/S0002-9947-06-03908-0 |
| Notas: | ISI, SCOPUS |