Continuity and nodal properties near infinity for solutions of 2- dimensional Schrödinger equations

DOI10.1215/S0012-7094-86-05318-4zbMath0599.35036MaRDI QIDQ1080058

Maria Hoffmann-Ostenhof, Thomas Hoffmann-Ostenhof, Jörg Swetina

Publication date: 1986

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Schrödinger equationDirichlet conditioncontinuity properties

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Schrödinger operator, Schrödinger equation (35J10)

Related Items (6)

Asymptotic properties of eigenfunctions -- the hyperbolic plane ⋮ Lower bounds in cones for solutions to the Schrödinger equation ⋮ Asymptotics of the nodal lines of solutions of 2-dimensional Schrödinger equations ⋮ Patterns of exponential decay for solutions to second order elliptic equations in a sector of \({\mathbb{R}}^ 2\) ⋮ On the asymptotics of nodes of \(L^ 2\)-solutions of Schrödinger equations in dimensions \(\geq 3\) ⋮ Unnamed Item

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• Schrödinger semigroups
• Jwkb and Related Bounds on Schrödinger Eigenfunctions
• Local behavior of solutions of general linear elliptic equations
• L²-lower bounds to solutions of one-body Schrödinger equations
• Brownian Motion and a Consequence of Harnack's Inequality: Nodes of Quantum Wave Functions

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