\(H^1\) scattering for mass-subcritical NLS with short-range nonlinearity and initial data in \(\Sigma\)

DOI10.1007/S00023-022-01245-2OpenAlexW3213310248MaRDI QIDQ2699042

Nickolay Tzvetkov, Nicola Visciglia, Nicolas Burq, Vladimir Georgiev

Publication date: 26 April 2023

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.07802

Mathematics Subject Classification ID

Spectral theory and eigenvalue problems for partial differential equations (35Pxx) Partial differential equations of mathematical physics and other areas of application (35Qxx) Qualitative properties of solutions to partial differential equations (35Bxx)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Global well-posedness and scattering for the defocusing, \(L^2\)-critical, nonlinear Schrödinger equation when \(d=2\)
• Scattering theory in the energy space for a class of nonlinear Schrödinger equations
• Rotating points for the conformal NLS scattering operator
• Global existence and scattering for rough solutions to generalized nonlinear Schrödinger equations on \(\mathbb R\)
• On the decay of solutions to a class of defocusing NLS
• Rapidly decaying solutions of the nonlinear Schrödinger equation
• Remarks on scattering for nonlinear Schrödinger equations
• The radial mass-subcritical NLS in negative order Sobolev spaces
• Energy scattering for nonlinear Klein-Gordon and Schrödinger equations in spatial dimensions 1 and 2
• On the asymptotic behavior of high order moments for a family of Schrödinger equations
• The defocusing energy-critical nonlinear Schrödinger equation in higher dimensions
• Global well-posedness and scattering for the energy-critical Schrödinger equation in \(\mathbb R^{3}\)
• Sobolev spaces related to Schrödinger operators with polynomial potentials
• Large data mass-subcritical NLS: critical weighted bounds imply scattering
• Long time dynamics for the one dimensional non linear Schrödinger equation
• Quantum-mechanical scattering theory for short-range and Coulomb interactions
• CONVERGENCE TO SCATTERING STATES IN THE NONLINEAR SCHRÖDINGER EQUATION
• Global well-posedness and scattering for the defocusing, L2-critical, nonlinear Schrödinger equation when d = 1
• Global well-posedness and scattering for the defocusing, $L^{2}$-critical nonlinear Schrödinger equation when $d ≥3$
• Nonexistence of asymptotically free solutions for a nonlinear Schrödinger equation
• The asymptotic behavior of nonlinear Schrödinger equations
• Global well-posedness and scattering for the defocusing energy-critical nonlinear Schrödinger equation in R 1+4
• Bilinear virial identities and applications
• Tensor products and correlation estimates with applications to nonlinear Schrödinger equations
• Global wellposedness of defocusing critical nonlinear Schrödinger equation in the radial case
• Breakdown of Regularity of Scattering for Mass-Subcritical NLS
• Almost sure scattering at mass regularity for radial Schrödinger equations

This page was built for publication: \(H^1\) scattering for mass-subcritical NLS with short-range nonlinearity and initial data in \(\Sigma\)