Uniform resolvent estimates for magnetic Schrödinger operators and smoothing effects for related evolution equations

DOI10.2977/PRIMS/24zbMath1203.35194MaRDI QIDQ616611

Kiyoshi Mochizuki

Publication date: 11 January 2011

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

zbMATH Keywords

smoothingmagnetic Schrödinger operator

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items

Uniform resolvent and Strichartz estimates for Schrödinger equations with critical singularities, Strichartz estimates for magnetic Schrödinger, wave and Klein-Gordon equations in exterior domain and application to scattering theory, Global-in-time smoothing effects for Schrödinger equations with inverse-square potentials, A uniform resolvent estimate for a Helmholtz equation with some large perturbations in an exterior domain, Carleman estimates for the Schrödinger operator and applications to unique continuation, Energy concentration and explicit Sommerfeld radiation condition for the electromagnetic Helmholtz equation, Kato smoothing and Strichartz estimates for wave equations with magnetic potentials, Remarks on endpoint Strichartz estimates for Schrödinger equations with the critical inverse-square potential, Semilinear Schrödinger equations with a potential of some critical inverse-square type, Uniform resolvent estimates for magnetic Schrödinger operators in a 2D exterior domain and their applications to related evolution equations

Cites Work

• Decay and regularity for the Schrödinger equation
• On the wave equation with a magnetic potential