Wave operators on Sobolev spaces
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Publication:5218209
DOI10.1090/PROC/14838zbMath1436.35270arXiv1903.01719OpenAlexW2982296709WikidataQ126860666 ScholiaQ126860666MaRDI QIDQ5218209
Publication date: 2 March 2020
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1903.01719
Scattering theory for PDEs (35P25) NLS equations (nonlinear Schrödinger equations) (35Q55) Time-dependent Schrödinger equations and Dirac equations (35Q41)
Related Items (9)
The \(L^p\)-continuity of wave operators for higher order Schrödinger operators ⋮ Scattering solutions to nonlinear Schrödinger equation with a long range potential ⋮ Global dynamics below the ground state for the focusing Schrödinger equation with a potential ⋮ Global well-posedness below the ground state for the nonlinear Schrödinger equation with a linear potential ⋮ Scattering theory in homogeneous Sobolev spaces for Schrödinger and wave equations with rough potentials ⋮ Non-radial scattering theory for nonlinear Schrödinger equations with potential ⋮ On the 𝐿^{𝑝} boundedness of the wave operators for fourth order Schrödinger operators ⋮ Threshold scattering for the focusing NLS with a repulsive Dirac delta potential ⋮ Characterization of the Ground State to the Intercritical NLS with a Linear Potential by the Virial Functional
Cites Work
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- Scattering for a nonlinear Schrödinger equation with a potential
- Agmon-Kato-Kuroda theorems for a large class of perturbations
- Scattering in \(H^{1}\) for the intercritical NLS with an inverse-square potential
- Wave operators and similarity for some non-selfadjoint operators
- Scattering for NLS with a delta potential
- Scattering for NLS with a potential on the line
- Strichartz estimates for the wave and Schroedinger equations with potentials of critical decay
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