The local structure of nodal set of solutions of Schrödinger equation on Riemannian 3-manifolds

DOI10.1007/BF02568197zbMath0833.58035WikidataQ115392014 ScholiaQ115392014MaRDI QIDQ1344911

Chen, Jingyi

Publication date: 22 March 1995

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/156021

zbMATH Keywords

nodal setsingular set3-dimensional Riemannian manifold

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05) Schrödinger operator, Schrödinger equation (35J10)

Cites Work

• Unnamed Item
• Nodal sets for solutions of elliptic equations
• A unique continuation theorem for solutions of elliptic partial differential equations or inequalities of second order
• Nodal sets of eigenfunctions on Riemannian manifolds
• Nodal sets of eigenfunctions on Riemann surfaces
• Eigenfunctions and nodal sets
• On \(C^0\)-sufficiency of jets of potential functions
• Characterizations of v-sufficiency of jets
• Local behavior of solutions of general linear elliptic equations
• Nodal sets of solutions of elliptic and parabolic equations
• Nodal Sets for Eigenfunctions of the Laplacian On Surfaces

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