Subelliptic resolvent estimates for non-self-adjoint semiclassical Schrödinger operators

DOI10.4171/JST/244zbMath1420.35075arXiv1609.00436MaRDI QIDQ1733080

Ben Bellis

Publication date: 20 March 2019

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.00436

zbMATH Keywords

complex potentialsnonselfadjoint Schrödinger operator

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Schrödinger operator, Schrödinger equation (35J10) Subelliptic equations (35H20)

Related Items (2)

Resolvent estimates for one-dimensional Schrödinger operators with complex potentials ⋮ Semigroup expansions for non-selfadjoint Schrödinger operators

Cites Work

• Eigenvalues and subelliptic estimates for non-selfadjoint semiclassical operators with double characteristics
• Spectral portraits of the Orr-Sommerfeld operator with large Reynolds numbers
• Semi-classical states for non-self-adjoint Schrödinger operators
• Rational invariant tori and band edge spectra for non-selfadjoint operators
• Symplectic classification of quadratic forms, and general Mehler formulas
• Global stability of the normal state of superconductors in the presence of a strong electric current
• Pseudospectra of semiclassical (pseudo-) differential operators
• Semiclassical Analysis for the Kramers–Fokker–Planck Equation
• Spectral properties of non-self-adjoint operators in the semi-classical regime
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