Local existence for inhomogeneous Schrödinger flow into Kähler manifolds

DOI10.1007/s101140000060zbMath0974.58034OpenAlexW1533709525MaRDI QIDQ1586088

Peter Y. H. Pang, You-De Wang, Hong-Yu Wang

Publication date: 30 November 2001

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s101140000060

zbMATH Keywords

local existenceKähler manifoldinhomogeneous Schrödinger flow

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60)

Related Items (9)

On the heat flow of \(f\)-harmonic maps from \(D^{2}\) into \(S^{2}\) ⋮ Existence and uniqueness of local regular solution to the Schrödinger flow from a bounded domain in \(\mathbb{R}^3\) into \(\mathbb{S}^2\) ⋮ Smooth local solutions to Schrödinger flows with damping term for maps into symplectic manifolds ⋮ Blow-up solutions of inhomogeneous nonlinear Schrödinger equations ⋮ Blow up solutions of inhomogeneous nonlinear Schrödinger equations on torus ⋮ Local nonautonomous Schrödinger flows on Kähler manifolds ⋮ Periodic solutions of inhomogeneous Schrödinger flows into 2-sphere ⋮ Inhomogeneous critical nonlinear Schrödinger equations with a harmonic potential ⋮ Local Schrödinger flow into Kähler manifolds

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