The Maslov index and the spectra of second order elliptic operators

DOI10.1016/j.aim.2018.02.027OpenAlexW2542964595MaRDI QIDQ1744550

Selim Sukhtaiev, Yuri Latushkin

Publication date: 23 April 2018

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.09765

zbMATH Keywords

symplectic formSchrödingerFredholm Lagrangian Grassmanian

Mathematics Subject Classification ID

Operator theory (47-XX) Partial differential equations (35-XX)

Related Items (12)

Symplectic transversality and the Pego-Weinstein theory ⋮ Edge states for second order elliptic operators in a channel ⋮ Hamiltonian Spectral Flows, the Maslov Index, and the Stability of Standing Waves in the Nonlinear Schrodinger Equation ⋮ Resolvent expansions for self‐adjoint operators via boundary triplets ⋮ Comparing the spectrum of Schrödinger operators on quantum graphs ⋮ The Maslov index and spectral counts for linear Hamiltonian systems on \(\mathbb{R}\) ⋮ A symplectic perspective on constrained eigenvalue problems ⋮ A dynamical approach to semilinear elliptic equations ⋮ An index theorem for Schrödinger operators on metric graphs ⋮ Jacobi fields in optimal control: Morse and Maslov indices ⋮ Exponential Dichotomies for Elliptic PDE on Radial Domains ⋮ Limits of quantum graph operators with shrinking edges

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