On the local well-posedness for the nonlinear Schrödinger equation with spatial variable coefficient

DOI10.1016/j.jmaa.2016.07.054zbMath1352.35169OpenAlexW2489586802MaRDI QIDQ323784

Jian Zhai, Bo-wen Zheng

Publication date: 10 October 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.07.054

zbMATH Keywords

well-posednessStrichartz estimateSchrödinger equation with spatial variable coefficient

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) NLS equations (nonlinear Schrödinger equations) (35Q55) Statistical mechanics of magnetic materials (82D40)

Related Items (4)

On the well-posedness for the nonlinear radial Schrödinger equation with spatial variable coefficients ⋮ Stability Analysis of Solitary Wave Solutions for Coupled and (2+1)-Dimensional Cubic Klein-Gordon Equations and Their Applications ⋮ On the blow-up solutions for the nonlinear radial Schrödinger equations with spatial variable coefficients ⋮ Global existence and blow-up solutions of the radial Schrödinger maps

Cites Work

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• Existence of solutions for Schrödinger evolution equations
• Smoothing properties and retarded estimates for some dispersive evolution equations
• Non-constant stable solutions to Landau-Lifshitz equation
• Strichartz estimates for the wave and Schrödinger equations with the inverse-square potential
• \(L^p\) estimates for the wave equation with the inverse-square potential
• Global existence of small classical solutions to nonlinear Schrödinger equations
• Strichartz estimates for the Schrödinger equation with radial data
• SPHERICAL AVERAGED ENDPOINT STRICHARTZ ESTIMATES FOR THE TWO-DIMENSIONAL SCHRÖDINGER EQUATION WITH INVERSE SQUARE POTENTIAL
• Real Interpolation of WeightedLp-Spaces
• Stable solutions to Landau-Lifshitz-Maxwell equations
• Endpoint Strichartz estimates
• Existence and Behavior of Solutions To The Landau--Lifshitz Equation
• Spherically Averaged Endpoint Strichartz Estimates For The TwoDimensional Schrödinger Equation
• On nonlinear schrödinger equations
• On the integrability of the inhomogeneous spherically symmetric Heisenberg ferromagnet in arbitrary dimensions

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