On the Local Behaviour Of Nodes Of Solutions Of SchröDinger Equations In Dimensions 3

DOI10.1080/03605309908820692zbMath0725.35005OpenAlexW1971165959MaRDI QIDQ5203411

M. Hoffman-Ostenhof, T. Hoffman-Ostenhof

Publication date: 1990

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605309908820692

zbMATH Keywords

harmonic polynomialnodal set

Mathematics Subject Classification ID

Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Schrödinger operator, Schrödinger equation (35J10)

Related Items (3)

Local Properties of Solutions of Schrödinger Equations ⋮ Interior hölder estimates for solutions of schrödinger equations and the regularity of nodal sets ⋮ Global branch from the second eigenvalue for a semilinear Neumann problem in a ball

Cites Work

• Nodal sets for solutions of elliptic equations
• Partial regularity of the zero-set of solutions of linear and superlinear elliptic equations
• Asymptotics of the nodal lines of solutions of 2-dimensional Schrödinger equations
• On the asymptotics of nodes of \(L^ 2\)-solutions of Schrödinger equations in dimensions \(\geq 3\)
• Nodal sets of eigenfunctions on Riemannian manifolds
• The length of level lines of solutions of elliptic equations in the plane
• Eigenfunctions and nodal sets
• Local behavior of solutions of general linear elliptic equations
• Sur les zeros de solutions d'inegalites differentielles elliptiques.
• On the mininum number of domains in which the nodal lines of spherical harmonics divide the sphere

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