A note on endpoint \(L^p\)-continuity of wave operators for classical and higher order Schrödinger operators

DOI10.1016/j.jde.2023.01.028OpenAlexW4318687838MaRDI QIDQ2694246

William R. Green, Mehmet Burak Erdogan

Publication date: 28 March 2023

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.14264

Mathematics Subject Classification ID

Spectral theory and eigenvalue problems for partial differential equations (35Pxx) Elliptic equations and elliptic systems (35Jxx) General theory of linear operators (47Axx)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A counterexample to dispersive estimates for Schrödinger operators in higher dimensions
• The existence of wave operators in scattering theory
• Scattering theory for elliptic operators of arbitrary order
• Scattering theory for differential operators. I: Operator theory
• Scattering theory for differential operators. II: Self-adjoint elliptic operators
• The \(L^p\)-continuity of wave operators for higher order Schrödinger operators
• On the 𝐿^{𝑝} boundedness of the wave operators for fourth order Schrödinger operators
• SCATTERING THEORY FOR PSEUDODIFFERENTIAL OPERATORS
• Decay estimates for higher-order elliptic operators
• The \(W^{k,p}\)-continuity of wave operators for Schrödinger operators

This page was built for publication: A note on endpoint \(L^p\)-continuity of wave operators for classical and higher order Schrödinger operators