Nonlinear fourth-order Schrödinger equations with radial data

DOI10.1016/J.NA.2011.10.047zbMath1236.35174OpenAlexW2002823123MaRDI QIDQ412725

Yu-Zhao Wang

Publication date: 4 May 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.10.047

zbMATH Keywords

scatteringcritical spacesStrichartz estimatesLWPradial data

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) A priori estimates in context of PDEs (35B45) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (15)

Global well-posedness for nonlinear fourth-order Schrödinger equations ⋮ Global Well-Posedness for Higher-Order Schrödinger Equations in WeightedL²Spaces ⋮ On the inhomogeneous fourth-order nonlinear Schrödinger equation ⋮ Higher-order nonlinear Schrödinger equation in 2D case ⋮ Well‐posedness of generalized KdV and one‐dimensional fourth‐order derivative nonlinear Schrödinger equations for data with an infinite L² norm ⋮ Factorization technique for the fourth-order nonlinear Schrödinger equation ⋮ Unnamed Item ⋮ Large time asymptotics for the fourth-order nonlinear Schrödinger equation ⋮ Global solutions for \(H^s\)-critical nonlinear biharmonic Schrödinger equation ⋮ Large time asymptotic behavior of solutions to higher order nonlinear Schrödinger equation ⋮ Global existence and asymptotic behavior of solutions to the fourth-order nonlinear Schrödinger equation in the critical case ⋮ Asymptotics for the fourth-order nonlinear Schrödinger equation in the critical case ⋮ The initial-boundary value problem for the biharmonic Schrödinger equation on the half-line ⋮ Global solution for a sixth-order nonlinear Schrödinger equation ⋮ Dissipative property for higher order nonlinear Schrödinger equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Global well-posedness for energy critical fourth-order Schrödinger equations in the radial case
• Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations
• Stability of solitons described by nonlinear Schrödinger-type equations with higher-order dispersion
• Sharp linear and bilinear restriction estimates for paraboloids in the cylindrically symmetric case
• THE MASS-CRITICAL FOURTH-ORDER SCHRÖDINGER EQUATION IN HIGH DIMENSIONS
• The cauchy problem for the critical nonlinear Schrödinger equation in Hs
• Endpoint Strichartz estimates
• Global strichartz estimates for nonthapping perturbations of the laplacian
• Dispersion estimates for fourth order Schrödinger equations
• Maximal functions associated to filtrations

This page was built for publication: Nonlinear fourth-order Schrödinger equations with radial data