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Minimal potential results for the Schrödinger equation in a slab

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Publication:302313
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DOI10.1515/forum-2014-0079zbMath1343.35075arXiv1309.0233OpenAlexW2979147341MaRDI QIDQ302313

Xiaosheng Li, Steve Hudson, Laura De Carli

Publication date: 5 July 2016

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.0233

zbMATH Keywords

Schrödinger equationsslabminimal potential results


Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Schrödinger operator, Schrödinger equation (35J10) Other analytical inequalities (26D20)




Cites Work

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  • A Faber-Krahn inequality for solutions of Schrödinger's equation
  • Minimal support results for Schrödinger equations
  • Inverse problems with partial data in a slab
  • Uniform Sobolev inequalities and unique continuation for second order constant coefficient differential operators
  • Resonances and standing waves
  • Marine Acoustics
  • Inverse problems for partial differential equations
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