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Regularity Theorems and Heat Kernel for Elliptic Operators
Author(s) -
Auscher Pascal
Publication year - 1996
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/54.2.284
Subject(s) - mathematics , elliptic operator , kernel (algebra) , heat kernel , pure mathematics , mathematical analysis
We give a new proof of Aronson's upper gaussian bound on the heat kernel for parabolic equations with time‐independent real measurable coefficients. This approach also gives gaussian bounds in the case of a complex perturbation of real coefficients and in the case of uniformly continuous and complex‐valued coefficients.