Exponential decay of eigenfunctions and generalized eigenfunctions of a non-self-adjoint matrix Schrödinger operator related to NLS

DOI10.1112/blms/bdm065zbMath1155.35065arXivmath-ph/0703068OpenAlexW1996483700MaRDI QIDQ5427808

Publication date: 27 November 2007

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0703068

zbMATH Keywords

essential spectrum eigenfunction exponential decay estimate non-self-adjoint matrix operator

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Schrödinger operator, Schrödinger equation (35J10) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10)

Related Items (13)

Revisiting asymptotic stability of solitons of nonlinear Schrödinger equations via refined profile method ⋮ A critical center-stable manifold for Schrödinger's equation in three dimensions ⋮ On stability of pseudo-conformal blowup for \(L^{2}\)-critical Hartree NLS ⋮ Distributional solutions of the stationary nonlinear Schrödinger equation: singularities, regularity and exponential decay ⋮ Global dynamics above the ground state energy for the cubic NLS equation in 3D ⋮ New estimates for a time-dependent Schrödinger equation ⋮ A centre-stable manifold for the focussing cubic NLS in \({\mathbb{R}}^{1+3\star}\) ⋮ High-speed excited multi-solitons in nonlinear Schrödinger equations ⋮ Eigenvalue accumulation and bounds for non-selfadjoint matrix differential operators related to NLS ⋮ Stable manifolds for all monic supercritical focusing nonlinear Schrödinger equations in one dimension ⋮ Existence and Stability of Schrödinger Solitons on Noncompact Manifolds ⋮ Endpoint Strichartz estimates for charge transfer Hamiltonians ⋮ The generalized Birman–Schwinger principle

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