Bilinear Strichartz's type estimates in Besov spaces with application to inhomogeneous nonlinear biharmonic Schrödinger equation

DOI10.1016/J.JDE.2021.06.007zbMath1476.35065arXiv2103.08154OpenAlexW3170132657MaRDI QIDQ2040125

Yanyan Li

Publication date: 12 July 2021

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.08154

zbMATH Keywords

Schrödinger equationBesov spaceslocal well-posednessbilinear Strichartz's estimate

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (6)

Scattering for the non-radial inhomogenous biharmonic NLS equation ⋮ Some remarks on the inhomogeneous biharmonic NLS equation ⋮ Local well-posedness of a critical inhomogeneous bi-harmonic Schrödinger equation ⋮ Energy scattering for non-radial inhomogeneous fourth-order Schrödinger equations ⋮ 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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