Li-Yau gradient estimate and entropy formulae for the CR heat equation in a closed pseudohermitian 3-manifold
From MaRDI portal
Publication:431561
DOI10.4310/jdg/1324477409zbMath1264.32030OpenAlexW1494924975WikidataQ115170585 ScholiaQ115170585MaRDI QIDQ431561
Shu-Cheng Chang, Ting-Jung Kuo, Sin-Hua Lai
Publication date: 28 June 2012
Published in: Journal of Differential Geometry (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.jdg/1324477409
Heat and other parabolic equation methods for PDEs on manifolds (58J35) Analysis on CR manifolds (32V20) Heat kernels in several complex variables (32W30)
Related Items (14)
On the Sharp Dimension Estimate of CR Holomorphic Functions in Sasakian Manifolds ⋮ On the three-circle theorem and its applications in Sasakian manifolds ⋮ CR sub-Laplacian comparison and Liouville-type theorem in a complete noncompact Sasakian manifold ⋮ Subgradient estimates for a nonlinear subparabolic equation on complete pseudo-Hermitian manifolds ⋮ \(C_0\)-positivity and a classification of closed three-dimensional CR torsion solitons ⋮ Matrix Li-Yau-Hamilton inequality for the CR heat equation in pseudohermitian \((2n+1)\)-manifolds ⋮ Differential Harnack estimates for time-dependent heat equations with potentials in a closed spherical CR 3-manifold ⋮ On the CR Poincaré-Lelong equation, Yamabe steady solitons and structures of complete noncompact Sasakian manifolds ⋮ CR gradient estimate for the positive eigenfunction of Witten sub-Laplacian ⋮ A CR Analogue of Yau’s Conjecture on Pseudoharmonic Functions of Polynomial Growth ⋮ Linear trace Li-Yau-Hamilton inequality for the CR Lichnerowicz-Laplacian heat equation ⋮ Ancient caloric functions on Pseudohermitian manifolds ⋮ Subgradient estimates for the equation \(\Delta_bu+cu^{-\alpha}=0\) on complete pseudohermitian manifolds ⋮ Differential Harnack inequalities and Perelman type entropy formulae for subelliptic operators
This page was built for publication: Li-Yau gradient estimate and entropy formulae for the CR heat equation in a closed pseudohermitian 3-manifold