Heat kernel and Riesz transform of Schrödinger operators
From MaRDI portal
Publication:2421917
DOI10.5802/aif.3249zbMath1412.35156arXiv1503.00510OpenAlexW2964148745MaRDI QIDQ2421917
Publication date: 18 June 2019
Published in: Annales de l'Institut Fourier (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1503.00510
Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Potential theory on fractals and metric spaces (31E05) Heat kernel (35K08)
Related Items (8)
Stability of estimates for fundamental solutions under Feynman-Kac perturbations for symmetric Markov processes ⋮ Positive solutions of the \(p\)-Laplacian with potential terms on weighted Riemannian manifolds with linear diameter growth ⋮ Gaussian estimates for heat kernels of higher order Schrödinger operators with potentials in generalized Schechter classes ⋮ Geometric inequalities for manifolds with Ricci curvature in the Kato class ⋮ On gradient estimates for heat kernels ⋮ Euclidean volume growth for complete Riemannian manifolds ⋮ On the nonexistence of Green's function and failure of the strong maximum principle ⋮ Hardy spaces on Riemannian manifolds with quadratic curvature decay
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A new approach to pointwise heat kernel upper bounds on doubling metric measure spaces
- The Hodge-de Rham Laplacian and \(L^p\)-boundedness of Riesz transforms on non-compact manifolds
- Harmonic functions on manifolds whose large spheres are small
- Riesz transforms associated to Schrödinger operators with negative potentials
- On criticality and ground states of second order elliptic equations. II
- A ground state alternative for singular Schrödinger operators
- Ground state alternative for \(p\)-Laplacian with potential term
- Riesz transform and perturbation
- Criticality and ground states for second-order elliptic equations
- Resolvent at low energy and Riesz transform for Schrödinger operators on asymptotically conic manifolds. I.
- Brownian motion, \(L^p\) properties of Schrödinger operators and the localization of binding
- Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds
- \(L^ p\) norms of non-critical Schrödinger semigroups
- On the equivalence of Green functions of second order elliptic equations in \(\mathbb{R}^ n\)
- Maximum and anti-maximum principles and eigenfunctions estimates via perturbation theory of positive solutions of elliptic equations
- Heat kernel upper bounds on a complete non-compact manifold
- Semismall perturbations in the Martin theory for elliptic equations
- First eigenvalues and comparison of Green's functions for elliptic operators on manifolds or domains
- Conditional gaugeability and subcriticality of generalized Schrödinger operators
- Riesz transform on manifolds with quadratic curvature decay
- On Green functions of second-order elliptic operators on Riemannian manifolds: the critical case
- Riesz transform, Gaussian bounds and the method of wave equation
- On positive solutions of second-order elliptic equations, stability results, and classification
- \(L^ p\) estimates for Schrödinger operators with certain potentials
- Dimensions at infinity for Riemannian manifolds
- Isometric Riemannian manifolds at infinity
- Riesz transforms of Schrödinger operators on manifolds
- Volume growth, Green's functions, and parabolicity of ends
- Gaussian heat kernel estimates: from functions to forms
- Optimal Hardy weight for second-order elliptic operator: an answer to a problem of Agmon
- A Gaussian estimate for the heat kernel on differential forms and application to the Riesz transform
- Large time behavior of heat kernels on forms
- Maximal inequalities and Riesz transform estimates on \(L^p\) spaces for Schrödinger operators with nonnegative potentials
- Riesz transform and \(L^p\)-cohomology for manifolds with Euclidean ends
- Riesz transform on manifolds and heat kernel regularity
- Gaugeability and conditional gaugeability
- Gaussian bounds of heat kernels for Schrödinger operators on Riemannian manifolds
- A perturbation result for the Riesz transform
- Lp boundedness of Riesz transform related to Schroedinger operators on a manifold
- A note on the isoperimetric constant
- Subcriticality and Gaugeability of the Schrodinger Operator
- Riesz transforms for $1\le p\le 2$
- Analytic and geometric background of recurrence and non-explosion of the Brownian motion on Riemannian manifolds
- On a parabolic equation with a singular lower order term. Part II: The Gaussian bounds
- A SHARP COMPARISON RESULT CONCERNING SCHRÖDINGER HEAT KERNELS
- Riesz transform and related inequalities on non‐compact Riemannian manifolds
- Geometric Analysis
- Global bounds of Schrödinger heat kernels with negative potentials
- Harnack inequality and hyperbolicity for subelliptic \(p\)-Laplacians with applications to Picard type theorems
This page was built for publication: Heat kernel and Riesz transform of Schrödinger operators