Lower bound of Schrödinger operators on Riemannian manifolds
From MaRDI portal
Publication:6062679
DOI10.4171/jst/448zbMath1526.58002arXiv2012.08841OpenAlexW3111432834MaRDI QIDQ6062679
Publication date: 6 November 2023
Published in: Journal of Spectral Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2012.08841
Estimates of eigenvalues in context of PDEs (35P15) Schrödinger operator, Schrödinger equation (35J10) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) Spectral theory; eigenvalue problems on manifolds (58C40)
Cites Work
- Weighted norm inequalities for operators of potential type and fractional maximal functions
- The Schrödinger operator on the energy space: Boundedness and compactness criteria
- Surgery of the Faber-Krahn inequality and applications to heat kernel bounds
- Weighted Sobolev inequalities and Ricci flat manifolds
- Some weighted norm inequalities concerning the Schrödinger operators
- The trace inequality and eigenvalue estimates for Schrödinger operators
- On the parabolic kernel of the Schrödinger operator
- Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds
- Heat kernel upper bounds on a complete non-compact manifold
- Complete manifolds with positive spectrum
- Potential operators, maximal functions, and generalizations of \(A_{\infty}\)
- Hardy and Rellich-type inequalities for metrics defined by vector fields
- Capacitary inequalities for fractional integrals, with applications to partial differential equations and Sobolev multipliers
- Hardy's inequality and Green function on metric measure spaces
- Geometric inequalities for manifolds with Ricci curvature in the Kato class
- The uncertainty principle
- The Spectrum of the Schrodinger Operator
- Weighted Inequalities for Fractional Integrals on Euclidean and Homogeneous Spaces
- A T(b) theorem with remarks on analytic capacity and the Cauchy integral
- Weighted Norm Inequalities for Fractional Integrals
- Heat Kernel Lower Bounds on Riemannian Manifolds Using the Old Ideas of Nash
- On the relation between elliptic and parabolic Harnack inequalities
- Unnamed Item
- Unnamed Item
- Unnamed Item
