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 |