A free boundary problem for the localization of eigenfunctions

zbMath1380.49001arXiv1406.6596MaRDI QIDQ5367041

Guy David, Svitlana Mayboroda, David S. Jerison, Marcel Filoche

Publication date: 12 October 2017

Full work available at URL: https://arxiv.org/abs/1406.6596

zbMATH Keywords

regularityfree boundary problemSchrödinger operatorlocalization of eigenfunctionsnondegeneracyLipschitz bounds

Mathematics Subject Classification ID

Variational inequalities (49J40) Smoothness and regularity of solutions to PDEs (35B65) General topics in linear spectral theory for PDEs (35P05) Variational problems in a geometric measure-theoretic setting (49Q20) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Variational methods for eigenvalues of operators (49R05) Research exposition (monographs, survey articles) pertaining to calculus of variations and optimal control (49-02)

Related Items (4)

Two- and multi-phase quadrature surfaces ⋮ An optimal partition problem for the localization of eigenfunctions ⋮ Free boundary regularity for almost-minimizers ⋮ Efficiency and localisation for the first Dirichlet eigenfunction

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