Davies’ method for heat-kernel estimates: An extension to the semi-elliptic setting
Sign Up to like & getrecommendations! Published in 2020 at "Transactions of the American Mathematical Society"
DOI: 10.1090/tran/8050
Abstract: We consider a class of constant-coefficient partial differential operators on a finite-dimensional real vector space which exhibit a natural dilation invariance. Typically, these operators are anisotropic, allowing for different degrees in different directions. The “heat”… read more here.
Keywords: davies method; heat; heat kernel; heat kernels ... See more keywords
Estimates of heat kernels of non-symmetric Lévy processes
Sign Up to like & getrecommendations! Published in 2021 at "Forum Mathematicum"
DOI: 10.1515/forum-2020-0364
Abstract: Abstract We investigate densities of vaguely continuous convolution semigroups of probability measures on ℝd{{\mathbb{R}^{d}}}. First, we provide results that give upper estimates in a situation when the corresponding jump measure is allowed to be highly… read more here.
Keywords: non symmetric; kernels non; symmetric processes; heat kernels ... See more keywords