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- W187920880 abstract "This chapter discusses a probabilistic approach to finding estimates for the heat kernel associated with a Hormander form operator. The chapter presents a report on some recent work by S. Kusuoka. The main result discussed in the chapter is contained in a theorem: there exists a unique positive ρ ∈ C ∞ ((0,∞) xR N xR N ) such that ∫ p (t,x,y)dy = 1 for all (t, x) ∈ (0,∞) xR N and, for all f ∈ C b ( R N ) , the function u f (t,x) = ∫ f (y) p (t,x,y) dy is the unique u ∈ C ∞ ( (0,∞) xR N ) ∩ C b (R N ), satisfying ∂ t u =Lu, lim t→0 u(t, .) =f." @default.
- W187920880 created "2016-06-24" @default.
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- W187920880 date "1987-01-01" @default.
- W187920880 modified "2023-10-16" @default.
- W187920880 title "A Probabilistic Approach to Finding Estimates for the Heat Kernel Associated with a Hörmander Form Operator" @default.
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- W187920880 doi "https://doi.org/10.1016/b978-0-12-195255-6.50017-9" @default.
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