Infinitesimal form boundedness and Trudinger's subordination for the Schrödinger operator

DOI10.1007/s00222-005-0439-yzbMath1132.35353arXivmath/0406050OpenAlexW2063447685MaRDI QIDQ2571049

Igor E. Verbitsky, Vladimir Gilelevich Maz'ya

Publication date: 2 November 2005

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0406050

Mathematics Subject Classification ID

General theory of partial differential operators (47F05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10)

Related Items (9)

Strict domain monotonicity of the principal eigenvalue and a characterization of lower boundedness for the Friedrichs extension of four-coefficient Sturm–Liouville operators ⋮ Decoupling of deficiency indices and applications to Schrödinger-type operators with possibly strongly singular potentials ⋮ Strongly elliptic operators with singular coefficients ⋮ N-S systems via \(\mathcal{Q}\)-\(\mathcal{Q}^{-1}\) spaces ⋮ On the string equation with a singular weight belonging to the space of multipliers in Sobolev spaces with negative index of smoothness ⋮ Absence of eigenvalues of non-selfadjoint Schrödinger operators on the boundary of their numerical range ⋮ Morrey spaces in harmonic analysis ⋮ Sharp convex Lorentz-Sobolev inequalities ⋮ Accretivity of the general second order linear differential operator

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