Unconditional well-posedness for subcritical NLS in \(H^s\)

DOI10.1016/j.crma.2007.09.003zbMath1156.35094OpenAlexW2061627351MaRDI QIDQ2462095

Keith M. Rogers

Publication date: 23 November 2007

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2007.09.003

zbMATH Keywords

existenceuniquenessCauchy problemnonlinear Schrödinger equationlocal well-posedness

Mathematics Subject Classification ID

Related Items (9)

Unconditional uniqueness of solution for \(\dot{H}^{s_c}\) critical NLS in high dimensions ⋮ Unconditional uniqueness of solution for \(\dot{H}^{s_c}\) critical 4th order NLS in high dimensions ⋮ Unconditional Uniqueness of the cubic Gross--Pitaevskii Hierarchy with Low Regularity ⋮ On well-posedness for general hierarchy equations of Gross-Pitaevskii and Hartree type ⋮ Continuous dependence for NLS in fractional order spaces ⋮ Unconditional local well-posedness for periodic NLS ⋮ Local well-posedness for the inhomogeneous nonlinear Schrödinger equation ⋮ Local well-posedness for the $H^2$-critical nonlinear Schrödinger equation ⋮ Unconditional uniqueness results for the nonlinear Schrödinger equation

Cites Work

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• The Cauchy problem for the nonlinear Schrödinger equation in \(H^ 1\)
• The global Cauchy problem for the nonlinear Schrödinger equation revisited
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• Rapidly decaying solutions of the nonlinear Schrödinger equation
• Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations
• On nonlinear Schrödinger equations. II: \(H^ S\)-solutions and unconditional well-posedness
• Inhomogeneous Strichartz estimates for the Schrödinger equation
• The cauchy problem for the critical nonlinear Schrödinger equation in Hs
• Endpoint Strichartz estimates
• Besov Spaces and Unconditional Well-Posedness for the Nonlinear Schrödinger Equation in $\dot{\rm H}^s({\mathbb R}^n)$

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