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FORMULAS FOR THE DERIVATIVES OF HEAT SEMIGROUPS
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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 | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Journal or Publication Title: | JOURNAL OF FUNCTIONAL ANALYSIS | ||||
Publisher: | ACADEMIC PRESS INC JNL-COMP SUBSCRIPTIONS | ||||
ISSN: | 0022-1236 | ||||
Official Date: | October 1994 | ||||
Dates: |
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Volume: | 125 | ||||
Number: | 1 | ||||
Number of Pages: | 35 | ||||
Page Range: | pp. 252-286 | ||||
Publication Status: | Published |
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