Long Time Estimates for the Heat Kernel Associated with a Uniformly Subellipic Symmetric Second Order Operator.
MASSACHUSETTS INST OF TECH CAMBRIDGE LAB FOR INFORMATION AND DECISION SYSTEMS
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Second order subelliptic operators have been the subject of a considerable amount of research in recent years. Starting with the paper Rothschild and Stein, in which the sharp form of Hormanders famous subellipticity theorem is proved, and continuing through the work of Fefferman and Phong and Sanchez-Calle, it has become increasingly clear that precise regularity estimates for these operators depend intimately on the geometry associated with the operator under consideration. The main purpose of this article is to obtain bounds, from above and below, on pt,x,y, t epsilon 1, infinity, in terms of standard heat kernels.
- Theoretical Mathematics