Scattering for the non-radial inhomogenous biharmonic NLS equation

DOI10.1007/s00526-022-02256-xzbMath1492.35298arXiv2107.12359OpenAlexW3184904670WikidataQ114017870 ScholiaQ114017870MaRDI QIDQ2146314

Carlos M. Guzmán, Luccas Campos

Publication date: 16 June 2022

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.12359

zbMATH Keywords

biharmonic NLS equation

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (6)

Local well-posedness of a critical inhomogeneous bi-harmonic Schrödinger equation ⋮ Energy scattering for non-radial inhomogeneous fourth-order Schrödinger equations ⋮ Random data final-state problem of fourth-order inhomogeneous NLS ⋮ Small data global well-posedness for the inhomogeneous biharmonic NLS in Sobolev spaces ⋮ A note on the inhomogeneous fourth-order Schrödinger equation ⋮ Local well-posedness for the inhomogeneous biharmonic nonlinear Schrödinger equation in Sobolev spaces

Cites Work

• On the asymptotic behavior of large radial data for a focusing nonlinear Schrödinger equation
• Global well-posedness, scattering and blow-up for the energy-critical, focusing, nonlinear Schrö\-dinger equation in the radial case
• Global well-posedness for energy critical fourth-order Schrödinger equations in the radial case
• Stability of solitons described by nonlinear Schrödinger-type equations with higher-order dispersion
• Energy scattering for radial focusing inhomogeneous bi-harmonic Schrödinger equations
• Bilinear Strichartz's type estimates in Besov spaces with application to inhomogeneous nonlinear biharmonic Schrödinger equation
• Global well-posedness and critical norm concentration for inhomogeneous biharmonic NLS
• On the inhomogeneous biharmonic nonlinear Schrödinger equation: local, global and stability results
• Scattering for the focusingL²-supercritical andḢ²-subcritical biharmonic NLS equations
• FINITE TIME BLOWUP FOR THE FOURTH-ORDER NLS
• A simple proof of scattering for the intercritical inhomogeneous NLS
• Dynamics of radial solutions for the focusing fourth-order nonlinear Schrödinger equations
• A new proof of scattering below the ground state for the 3d radial focusing cubic NLS
• A Virial-Morawetz approach to scattering for the non-radial inhomogeneous NLS

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