Space-only gradient estimates of Schrödinger equation with Neumann boundary condition under integral Ricci curvature bounds
From MaRDI portal
Publication:6500079
DOI10.1016/J.JMAA.2024.128367MaRDI QIDQ6500079
Hui Zhou, Dapeng Xie, Unnamed Author, Liu Yang
Publication date: 10 May 2024
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Neumann boundary conditionsintegral Ricci curvatureHamilton-type gradient estimateparabolic Schrödinger equation
Parabolic equations and parabolic systems (35Kxx) Partial differential equations on manifolds; differential operators (58Jxx) Global differential geometry (53Cxx)
Cites Work
- Elliptic gradient estimates for a nonlinear heat equation and applications
- Gradient estimates for the heat equation under the Ricci flow
- On the parabolic kernel of the Schrödinger operator
- A matrix Harnack estimate for the heat equation
- Global heat kernel estimates
- On global Schrödinger kernel estimate and eigenvalue problem
- Relative volume comparison with integral curvature bounds
- Local Sobolev constant estimate for integral Ricci curvature bounds
- Gradient estimates for some \(f\)-heat equations driven by Lichnerowicz's equation on complete smooth metric measure spaces
- Comparison geometry for integral Bakry-Émery Ricci tensor bounds
- Li-Yau gradient estimate for compact manifolds with negative part of Ricci curvature in the Kato class
- Li-Yau gradient bounds on compact manifolds under nearly optimal curvature conditions
- Harnack inequality, heat kernel bounds and eigenvalue estimates under integral Ricci curvature bounds
- Quantitative Sobolev extensions and the Neumann heat kernel for integral Ricci curvature conditions
- Zhong-Yang type eigenvalue estimate with integral curvature condition
- Li-Yau gradient bound for collapsing manifolds under integral curvature condition
- SHARP GRADIENT ESTIMATE AND YAU'S LIOUVILLE THEOREM FOR THE HEAT EQUATION ON NONCOMPACT MANIFOLDS
- Neumann Eigenvalue Estimate on a Compact Riemannian Manifold
- Analysis and geometry on manifolds with integral Ricci curvature bounds. II
- Neumann Li-Yau gradient estimate under integral Ricci curvature bounds
- Sharp gradient estimates for a heat equation in Riemannian manifolds
This page was built for publication: Space-only gradient estimates of Schrödinger equation with Neumann boundary condition under integral Ricci curvature bounds