Ratio limit theorem for parabolic horn-shaped domains

Collet, P.; Martínez, S.; Martin, JS

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