On the asymptotics of nodes of \(L^ 2\)-solutions of Schrödinger equations in dimensions \(\geq 3\)
From MaRDI portal
Publication:1111757
DOI10.1007/BF01228411zbMath0658.35021OpenAlexW2005859540MaRDI QIDQ1111757
Thomas Hoffmann-Ostenhof, Maria Hoffmann-Ostenhof
Publication date: 1988
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01228411
Asymptotic behavior of solutions to PDEs (35B40) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Schrödinger operator, Schrödinger equation (35J10)
Related Items (5)
Asymptotics of the nodal lines of solutions of 2-dimensional Schrödinger equations ⋮ On the asymptotic decay of L2-solutions of one-body Schrödinger equations in unbounded domains ⋮ Cycle double covers and the semi-Kotzig frame ⋮ On the Local Behaviour Of Nodes Of Solutions Of SchröDinger Equations In Dimensions 3 ⋮ Unnamed Item
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the lowest eigenvalue of the Laplacian for the intersection of two domains
- Ultracontractivity and the heat kernel for Schrödinger operators and Dirichlet Laplacians
- Partial regularity of the zero-set of solutions of linear and superlinear elliptic equations
- Continuity and nodal properties near infinity for solutions of 2- dimensional Schrödinger equations
- Lower bounds in cones for solutions to the Schrödinger equation
- Asymptotics of the nodal lines of solutions of 2-dimensional Schrödinger equations
- Decay order of eigenfunctions of second-order elliptic operators in an unbounded domain, and its applications
- Patterns of exponential decay for solutions to second order elliptic equations in a sector of \({\mathbb{R}}^ 2\)
- Eigenfunctions and nodal sets
- Elliptic partial differential equations of second order
- Schrödinger semigroups
- Local behavior of solutions of general linear elliptic equations
- Generic Properties of Eigenfunctions
- Generic Properties of Eigenfunctions of Elliptic Partial Differential Operators
- Bounds for the Discrete Part of the Spectrum of a Semi-Bounded Schrödinger Operator.
- Analytic Inequalities
This page was built for publication: On the asymptotics of nodes of \(L^ 2\)-solutions of Schrödinger equations in dimensions \(\geq 3\)