On the 𝐿^{𝑝} boundedness of the wave operators for fourth order Schrödinger operators
From MaRDI portal
Publication:3388494
DOI10.1090/tran/8377OpenAlexW3058724248MaRDI QIDQ3388494
Michael Goldberg, William R. Green
Publication date: 5 May 2021
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2008.07576
Related Items
The \(L^p\)-continuity of wave operators for higher order Schrödinger operators, Decay estimates for fourth-order Schrödinger operators in dimension two, Counterexamples to \(L^p\) boundedness of wave operators for classical and higher order Schrödinger operators, A note on endpoint \(L^p\)-continuity of wave operators for classical and higher order Schrödinger operators
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Remarks on \(L^p\)-boundedness of wave operators for Schrödinger operators with threshold singularities
- The \(L^{p}\) boundedness of wave operators for Schrödinger operators with threshold singularities
- On the \(L^p\) boundedness of wave operators for four-dimensional Schrödinger operators with a threshold eigenvalue
- On the \(L^p\) boundedness of wave operators for two-dimensional Schrödinger operators with threshold obstructions
- A counterexample to dispersive estimates for Schrödinger operators in higher dimensions
- \(L^p\)-boundedness of the wave operator for the one dimensional Schrödinger operator
- The existence of wave operators in scattering theory
- A remark on \(L^{p}\) -boundedness of wave operators for two dimensional Schrödinger operators
- Stability of solitons described by nonlinear Schrödinger-type equations with higher-order dispersion
- Decay estimates and Strichartz estimates of fourth-order Schrödinger operator
- \(L^p\)-boundedness of wave operators for the three-dimensional multi-centre point interaction
- Stabilization of soliton instabilities by higher order dispersion: KdV-type equations.
- On the fourth order Schrödinger equation in three dimensions: dispersive estimates and zero energy resonances
- Structure formulas for wave operators under a small scaling invariant condition
- \(L^1\) and \(L^\infty\)-boundedness of wave operators for three dimensional Schrödinger operators with threshold singularities
- On the fourth order Schrödinger equation in four dimensions: dispersive estimates and zero energy resonances
- Structure formulas for wave operators
- A UNIFIED APPROACH TO RESOLVENT EXPANSIONS AT THRESHOLDS
- Classical Fourier Analysis
- Wave operators on Sobolev spaces
- Decay estimates for higher-order elliptic operators
- Structure of wave operators for a scaling-critical class of potentials
- On Lp boundedness of wave operators for 4-dimensional Schrödinger operators with threshold singularities
- The \(W^{k,p}\)-continuity of wave operators for Schrödinger operators