A weak form of the soliton resolution conjecture for high-dimensional fourth-order Schrödinger equations
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Publication:5367515
DOI10.1142/S0219891617500072zbMath1379.35295arXiv1508.00204OpenAlexW2964255746WikidataQ123247163 ScholiaQ123247163MaRDI QIDQ5367515
Publication date: 20 October 2017
Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1508.00204
Asymptotic behavior of solutions to PDEs (35B40) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton solutions (35C08) Time-dependent Schrödinger equations and Dirac equations (35Q41)
Cites Work
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- Global well-posedness and scattering for the defocusing energy-critical nonlinear Schrödinger equations of fourth order in dimensions \(d\geqslant 9\)
- The focusing energy-critical fourth-order Schrödinger equation with radial data
- Global well-posedness for energy critical fourth-order Schrödinger equations in the radial case
- The cubic fourth-order Schrödinger equation
- Global well-posedness and scattering for the focusing energy-critical nonlinear Schrödinger equations of fourth order in the radial case
- Stability of solitons described by nonlinear Schrödinger-type equations with higher-order dispersion
- The global Cauchy problem and scattering of solutions for nonlinear Schrödinger equations in \(H^s\).
- Global well-posedness and scattering for the energy-critical Schrödinger equation in \(\mathbb R^{3}\)
- A (concentration-)compact attractor for high-dimensional nonlinear Schrödinger equations
- Wellposedness for the fourth order nonlinear Schrödinger equations
- Scattering for the focusingL2-supercritical andḢ2-subcritical biharmonic NLS equations
- FINITE TIME BLOWUP FOR THE FOURTH-ORDER NLS
- THE MASS-CRITICAL FOURTH-ORDER SCHRÖDINGER EQUATION IN HIGH DIMENSIONS
- Self-Focusing with Fourth-Order Dispersion
- Modified wave operators for the fourth-order non-linear Schrödinger-type equation with cubic non-linearity
- Bilinear space-time estimates for homogeneous wave equations
- Dispersion estimates for fourth order Schrödinger equations
- Blowup for Biharmonic NLS