UNSPECIFIED (1994) FORMULAS FOR THE DERIVATIVES OF HEAT SEMIGROUPS. JOURNAL OF FUNCTIONAL ANALYSIS, 125 (1). pp. 252-286. ISSN 0022-1236

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Abstract

Formulae for the derivatives of solutions of diffusion equations are derived which clearly exhibit, and allow estimation of, the equations' smoothing properties. These also give formulae for the logarithmic gradient of the corresponding heat kernels, extending and giving a very elementary proof of Bismut's well known formula. Corresponding formulae are derived for solutions of heat equations for differential forms and their exterior derivatives. (C) 1994 Academic Press, Inc,

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Journal or Publication Title:	JOURNAL OF FUNCTIONAL ANALYSIS
Publisher:	ACADEMIC PRESS INC JNL-COMP SUBSCRIPTIONS
ISSN:	0022-1236
Date:	October 1994
Volume:	125
Number:	1
Number of Pages:	35
Page Range:	pp. 252-286
Publication Status:	Published
URI:	http://wrap.warwick.ac.uk/id/eprint/20248

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