Lp resolvent estimates for magnetic Schrödinger operators with unbounded background fields

DOI10.1080/03605302.2017.1278769zbMath1372.35257arXiv1510.00066OpenAlexW2964069870MaRDI QIDQ2986682

Jean-Claude Cuenin, Carlos E. Kenig

Publication date: 16 May 2017

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.00066

zbMATH Keywords

Schrödinger operatorPauli operatorresolvent estimatescomplex potentialmagnetic potential

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Spectrum, resolvent (47A10) A priori estimates in context of PDEs (35B45) PDEs in connection with quantum mechanics (35Q40)

Related Items (8)

Sharp spectral estimates for the perturbed Landau Hamiltonian with \(L^{p}\) potentials ⋮ From spectral cluster to uniform resolvent estimates on compact manifolds ⋮ Sharp spectral bounds for complex perturbations of the indefinite Laplacian ⋮ Eigenvalue bounds for non-self-adjoint Schrödinger operators with nontrapping metrics ⋮ Sharp time decay estimates for the discrete Klein–Gordon equation ⋮ Spectral enclosures for non-self-adjoint discrete Schrödinger operators ⋮ Dispersive decay for the nonlinear magnetic Schrödinger equation ⋮ Lieb-Thirring inequalities for an effective Hamiltonian of bilayer graphene

Cites Work

• Unnamed Item
• Pointwise bounds on quasimodes of semiclassical Schrödinger operators in dimension two
• \(L^p\)-\(L^q\) estimates for electromagnetic Helmholtz equation
• The analysis of linear partial differential operators. III: Pseudo-differential operators
• Endpoint Strichartz estimates for the magnetic Schrödinger equation
• Magnetic virial identities, weak dispersion and Strichartz inequalities
• Smoothing estimates for the Schrödinger equation with unbounded potentials
• Uniform Sobolev inequalities and unique continuation for second order constant coefficient differential operators
• Remarks on convergence of the Feynman path integrals
• Schrödinger evolution equations with magnetic fields
• Local smoothing property and Strichartz inequality for Schrödinger equations with potentials superquadratic at infinity
• Lieb-Thirring type inequalities for non-self-adjoint perturbations of magnetic Schrödinger operators
• \(L^p-L^q\) estimates for electromagnetic Helmholtz equation. singular potentials
• Smoothing-Strichartz estimates for the Schrödinger equation with small magnetic potential
• Smoothness of solutions for Schrödinger equations with unbounded potentials
• \(L^p\) eigenfunction bounds for the Hermite operator
• Strichartz and smoothing estimates for Schrödinger operators with large magnetic potentials in \(\mathbb R^3\)
• Semiclassical \(L^p\) estimates
• Wave operators and similarity for some non-selfadjoint operators
• Dispersive estimates for Schrödinger equations with threshold resonance and eigenvalue
• Bounds on complex eigenvalues and resonances
• Spectral projections for the twisted Laplacian
• Remark on the Kato Smoothing Effect for Schrödinger Equation with Superquadratic Potentials
• Endpoint Strichartz estimates
• Strichartz and smoothing estimates for Schrödinger operators with almost critical magnetic potentials in three and higher dimensions
• Eigenvalue bounds for Schrödinger operators with complex potentials
• Carleman Estimates and Unique Continuation for Second Order Parabolic Equations with Nonsmooth Coefficients

This page was built for publication: L^p resolvent estimates for magnetic Schrödinger operators with unbounded background fields