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SHARP HEAT-KERNEL ESTIMATES FOR HIGHER-ORDER OPERATORS WITH SINGULAR COEFFICIENTS

Published online by Cambridge University Press:  27 May 2004

Gerassimos Barbatis
Gerassimos Barbatis
Affiliation:
Department of Mathematics, University of Ioannina, 45110 Ioannina, Greece (gbarbati@cc.uoi.gr)
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Abstract

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We obtain heat-kernel estimates for higher-order operators with measurable coefficients that can be singular or degenerate. Precise constants are given, which are sharp for small times.

AMS 2000 Mathematics subject classification: Primary 35K30; 47D06. Secondary 35K25; 35K35

Keywords

heat-kernels estimateshigher-order operatorssingular-degenerate coefficients
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 47 , Issue 1 , February 2004 , pp. 53 - 67
Copyright
Copyright © Edinburgh Mathematical Society 2004