Asymptotics of the nodal lines of solutions of 2-dimensional Schrödinger equations

DOI10.1007/BF01163288zbMath0627.35024OpenAlexW1983655224MaRDI QIDQ1092321

Maria Hoffmann-Ostenhof

Publication date: 1988

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173918

zbMATH Keywords

regularitySchrödinger equationsnodal setnodal propertiesreal analyticnon-intersecting nodal lines

Mathematics Subject Classification ID

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 (4)

On the asymptotics of nodes of \(L^ 2\)-solutions of Schrödinger equations in dimensions \(\geq 3\) ⋮ On the asymptotic decay of L²-solutions of one-body Schrödinger equations in unbounded domains ⋮ On the Local Behaviour Of Nodes Of Solutions Of SchröDinger Equations In Dimensions 3 ⋮ Unnamed Item

Cites Work

• 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
• On the asymptotics of nodes of \(L^ 2\)-solutions of Schrödinger equations in dimensions \(\geq 3\)
• Eigenfunctions and nodal sets
• Local behavior of solutions of general linear elliptic equations
• Generic Properties of Eigenfunctions
• Elliptic Partial Differential Equations of Second Order
• Generic Properties of Eigenfunctions of Elliptic Partial Differential Operators
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