Scattering for the Cubic-Quintic NLS: Crossing the Virial Threshold
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Publication:5158387
DOI10.1137/20M1381824zbMath1479.35798OpenAlexW3204815235MaRDI QIDQ5158387
Jason Murphy, Monica Visan, Rowan Killip
Publication date: 22 October 2021
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/20m1381824
Scattering theory for PDEs (35P25) NLS equations (nonlinear Schrödinger equations) (35Q55) Time-dependent Schrödinger equations and Dirac equations (35Q41)
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Cites Work
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- Blowup and scattering problems for the nonlinear Schrödinger equations
- Solitons and scattering for the cubic-quintic nonlinear Schrödinger equation on \({\mathbb{R}^3}\)
- Scattering for the focusing energy-subcritical nonlinear Schrödinger equation
- On the Cauchy problem of 3D energy-critical Schrödinger equations with subcritical perturbations
- Global well-posedness, scattering and blow-up for the energy-critical, focusing, nonlinear Schrö\-dinger equation in the radial case
- Global well-posedness and scattering for the mass critical nonlinear Schrödinger equation with mass below the mass of the ground state
- Scattering for the nonradial 3D cubic nonlinear Schrödinger equation
- The dynamics of the 3D radial NLS with the combined terms
- Existence of a ground state and scattering for a nonlinear Schrödinger equation with critical growth
- Global well-posedness and scattering for the energy-critical Schrödinger equation in \(\mathbb R^{3}\)
- Global dynamics above the ground state energy for the cubic NLS equation in 3D
- A sharp condition for scattering of the radial 3D cubic nonlinear Schrödinger equation
- Global Behavior of Finite Energy Solutions to the d-Dimensional Focusing Nonlinear Schrodinger Equation
- The focusing energy-critical nonlinear Schrödinger equation in dimensions five and higher
- Global well-posedness and scattering for the focusing, cubic Schrödinger equation in dimension d=4
- The Nonlinear Schrödinger Equation with Combined Power-Type Nonlinearities