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Nodal domain theorems à la Courant

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Publication:1769043
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zbMath1067.35051arXivmath/0403038MaRDI QIDQ1769043

Thomas Hoffmann-Ostenhof, Bernard Helffer, Alano Ancona

Publication date: 16 March 2005

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

Full work available at URL: https://arxiv.org/abs/math/0403038


zbMATH Keywords

capacitySchrödinger operatorDirichlet boundary conditionsnodal domainsspectral counting functions


Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Schrödinger operator, Schrödinger equation (35J10) Potentials and capacities on other spaces (31C15)


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Courant-sharp eigenvalues of Neumann 2-rep-tiles ⋮ Nodal domains and spectral minimal partitions ⋮ On the nodal structure of nonlinear stationary waves on star graphs



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