Eigenfunctions and Hardy inequalities for a magnetic Schrödinger operator in ℝ2

DOI10.1002/mma.402zbMath1045.81023OpenAlexW1991247035MaRDI QIDQ4432785

Bénédicte Alziary, Jacqueline Fleckinger-Pellé, Peter Takáč

Publication date: 29 October 2003

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.402

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) PDEs in connection with quantum mechanics (35Q40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

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Cites Work

• On the zero set of the wave function in superconductivity
• Nodal sets for ground states of Schrödinger operators with zero magnetic field in non simply connected domains
• An extension of maximum and anti-maximum principles to a Schrödinger equation in \(\mathbb{R}^2\)
• Local behavior of solutions of general linear elliptic equations
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