Gradient estimates for the CR heat equation on closed Sasakian manifolds

Heat equation (35K05) A priori estimates in context of PDEs (35B45) Heat and other parabolic equation methods for PDEs on manifolds (58J35) PDEs on manifolds (35R01)

Cites Work

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Li-Yau gradient estimate and entropy formulae for the CR heat equation in a closed pseudohermitian 3-manifold
Local Li-Yau's estimates on \(RCD^\ast(K,N)\) metric measure spaces
Curvature-dimension inequalities and Ricci lower bounds for sub-Riemannian manifolds with transverse symmetries
Differential Harnack inequalities on Riemannian manifolds. I: Linear heat equation
A logarithmic Sobolev form of the Li-Yau parabolic inequality
Smooth solutions of degenerate Laplacians on strictly pseudoconvex domains
On the parabolic kernel of the Schrödinger operator
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Pseudo-hermitian structures on a real hypersurface
A matrix Harnack estimate for the heat equation
Harnack inequalities on a manifold with positive or negative Ricci curvature
The entropy formula for linar heat equation
The Li-Yau inequality and applications under a curvature-dimension condition
Li-Yau type and Souplet-Zhang type gradient estimates of a parabolic equation for the \(V\)-Laplacian
Li-Yau gradient bounds on compact manifolds under nearly optimal curvature conditions
Matrix Li-Yau-Hamilton estimates for the heat equation on Kähler manifolds
Szegő kernel asymptotics on complete strictly pseudoconvex CR manifolds
Sharp Li-Yau-type gradient estimates on hyperbolic spaces
Linear trace Li-Yau-Hamilton inequality for the CR Lichnerowicz-Laplacian heat equation
Differential geometry and analysis on CR manifolds
Curvature dimension inequalities and subelliptic heat kernel gradient bounds on contact manifolds
Über Systeme von linearen partiellen Differentialgleichungen erster Ordnung
Pseudo-harmonic maps from complete noncompact pseudo-Hermitian manifolds to regular balls
Continuity of Solutions of Parabolic and Elliptic Equations
SHARP GRADIENT ESTIMATE AND YAU'S LIOUVILLE THEOREM FOR THE HEAT EQUATION ON NONCOMPACT MANIFOLDS
Subelliptic Li-Yau estimates on three dimensional model spaces
The first eigenvalue of a sublaplacian on a pseudohermitian manifold
Harmonic functions on complete riemannian manifolds
Szegö kernel asymptotic expansion on strongly pseudoconvex CR manifolds with S1 action
Curvature-dimension inequalities and Li-Yau inequalities in sub-Riemannian spaces
Geometric quantization on CR manifolds

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