1,721,026 research outputs found
Asymptotic behavior of fundamental solutions and potential theory of parabolic operators with variable coefficients
Zero-order perturbations of the subelliptic Laplacian on the Heisenberg group and their uniqueness properties
Wiener's criterion for parabolic equations with variable coefficients and its consequences
Level sets of the fundamental solution and Harnack inequality for degenerate equations of Kolmogorov type
A negative answer to a one-dimensional symmetry problem in the Heisenberg group
[No abstract available
On a class of hypoelliptic evolution operators
We show that Hypoelliptic Kolmogorov equations are invariant with respect to a suitable Lie group structure. We prove a Harnack inequality which is invariant with respet to the Lie group structure. We give a characterization of the Kolmogorov operators that are related to a homogeneous Lie grou
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