Some remarks on the inhomogeneous biharmonic NLS equation

DOI10.1016/J.NONRWA.2022.103643zbMath1504.35481arXiv2105.01509OpenAlexW3159671360MaRDI QIDQ2147521

Carlos M. Guzmán, Ademir Pastor Ferreira

Publication date: 20 June 2022

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.01509

zbMATH Keywords

global well-posednesscritical nonlinearitystability theoryinhomogeneous biharmonic nonlinear Schrödinger equation

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Maximal functions, Littlewood-Paley theory (42B25) 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) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (5)

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 ⋮ Local well-posedness for the inhomogeneous biharmonic nonlinear Schrödinger equation in Sobolev spaces

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