Regularity Theorems and Heat Kernel for Elliptic Operators |
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Authors: | Auscher Pascal |
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Affiliation: | CNRS, IRMAR, Université de Rennes I, Campus de Beaulieu 35042 Rennes Cedex, France |
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Abstract: | We give a new proof of Aronson's upper gaussian bound on theheat kernel for parabolic equations with time-independent realmeasurable coefficients. This approach also gives gaussian boundsin the case of a complex perturbation of real coefficients andin the case of uniformly continuous and complex-valued coefficients. |
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