Absolute continuity of the “even" periodic Schrödinger operator with nonsmooth coefficients
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Publication:3022470
DOI10.1090/S1061-0022-05-00866-6zbMath1128.35035OpenAlexW1866843665MaRDI QIDQ3022470
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Publication date: 29 June 2005
Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s1061-0022-05-00866-6
Periodic solutions to PDEs (35B10) General topics in linear spectral theory for PDEs (35P05) Schrödinger operator, Schrödinger equation (35J10)
Related Items (7)
Absolute continuity of the spectrum of a periodic 3D magnetic Schrödinger operator with singular electric potential ⋮ On absolute continuity of the spectrum of a 3D periodic magnetic Dirac operator ⋮ Maxwell operator in a cylinder with coefficients that do not depend on the cross-sectional variables ⋮ Absolute continuity of the periodic Schrödinger operator in transversal geometry ⋮ On the spectrum of an Even periodic Schrödinger operator with a rational magnetic flux ⋮ Solution set splitting at low energy levels in Schrödinger equations with periodic and symmetric potential ⋮ An overview of periodic elliptic operators
Cites Work
- On the unique continuation property of elliptic divergence form equations in the plane
- Absolute continuity of the periodic magnetic Schrödinger operator
- On the spectrum of a class of second order periodic elliptic differential operators
- Carleman estimates and unique continuation for second-order elliptic equations with nonsmooth coefficients
- Schrödinger operator. Estimates for number of bound states as function-theoretical problem
- Absence of singular spectrum for a perturbation of a two-dimensional Laplace-Beltrami operator with periodic electromagnetic potential
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