Energy scattering for radial focusing inhomogeneous bi-harmonic Schrödinger equations

DOI10.1007/S00526-021-01973-ZzbMath1472.35362arXiv2010.13315OpenAlexW3164848902WikidataQ115386664 ScholiaQ115386664MaRDI QIDQ2036268

Tarek Saanouni

Publication date: 28 June 2021

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

Full work available at URL: https://arxiv.org/abs/2010.13315

zbMATH Keywords

bi-harmonic Schrödinger equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Scattering theory for PDEs (35P25) NLS equations (nonlinear Schrödinger equations) (35Q55) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30)

Related Items (10)

Scattering for the non-radial inhomogenous biharmonic NLS equation ⋮ Some remarks on the inhomogeneous biharmonic NLS equation ⋮ Non-radial finite time blow-up for the fourth-order nonlinear Schrödinger equations ⋮ Local well-posedness of a critical inhomogeneous bi-harmonic Schrödinger equation ⋮ The radial bi-harmonic generalized Hartree equation revisited ⋮ Energy scattering for non-radial inhomogeneous fourth-order Schrödinger equations ⋮ Long‐time dynamics for the radial focusing fractional INLS ⋮ 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

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