Local Properties of Solutions of Schrödinger Equations

DOI10.1080/03605309208820851zbMath0783.35054OpenAlexW2014449550MaRDI QIDQ4008507

Thomas Hoffmann-Ostenhof, Maria Hoffmann-Ostenhof

Publication date: 27 September 1992

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

Full work available at URL: https://doi.org/10.1080/03605309208820851

zbMATH Keywords

distributional solutionspotentialsasymptotics of solutions at some point

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with quantum mechanics (35Q40) Schrödinger operator, Schrödinger equation (35J10)

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Cites Work

• Unnamed Item
• Unnamed Item
• Unique continuation for Schrödinger operators in dimension three or less
• A partial answer to a conjecture of B. Simon concerning unique continuation
• Partial regularity of the zero-set of solutions of linear and superlinear elliptic equations
• Nodal sets of eigenfunctions on Riemannian manifolds
• Singular solutions of elliptic equations and the determination of conductivity by boundary measurements
• Schrödinger operators with singular potentials
• Schrödinger semigroups
• Local behavior of solutions of general linear elliptic equations
• On the eigenfunctions of many-particle systems in quantum mechanics
• Pointwise bounds for solutions of the equation - ∆v + pv = 0.
• Local behaviour of solutions to parabolic equations parabolic equations
• Sur les zeros de solutions d'inegalites differentielles elliptiques.
• Brownian motion and harnack inequality for Schrödinger operators
• On the Local Behaviour Of Nodes Of Solutions Of SchröDinger Equations In Dimensions 3