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Long‐time asymptotics of heat kernels for one‐dimensional elliptic operators with periodic coefficients
Author(s) -
Tsuchida Tetsuo
Publication year - 2008
Publication title -
proceedings of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.899
H-Index - 65
eISSN - 1460-244X
pISSN - 0024-6115
DOI - 10.1112/plms/pdn014
Subject(s) - mathematics , elliptic operator , heat kernel , order (exchange) , gaussian , mathematical analysis , product (mathematics) , geometry , physics , finance , quantum mechanics , economics
We give long‐time asymptotics of heat kernels generated by one‐dimensional second‐order elliptic operators with periodic coefficients. As a by‐product Gaussian bounds are also derived.