The Cauchy problem for Schrödinger flows into Kähler manifolds
From MaRDI portal
Publication:972037
DOI10.3934/dcds.2010.27.389zbMath1193.35208arXiv0911.3141OpenAlexW2963026984MaRDI QIDQ972037
Tatiana Toro, Carlos E. Kenig, Daniel Pollack, Gigliola Staffilani, Tobias Lamm
Publication date: 25 May 2010
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0911.3141
NLS equations (nonlinear Schrödinger equations) (35Q55) Heat and other parabolic equation methods for PDEs on manifolds (58J35)
Related Items (16)
Asymptotic behaviors of Landau-Lifshitz flows from \(\mathbb {R}^2\) to Kähler manifolds ⋮ Asymptotic Stability of Harmonic Maps on the Hyperbolic Plane under the Schrödinger Maps Evolution ⋮ Existence and uniqueness of local regular solution to the Schrödinger flow from a bounded domain in \(\mathbb{R}^3\) into \(\mathbb{S}^2\) ⋮ The Cauchy problem of generalized Landau-Lifshitz equation into \(S ^{n }\) ⋮ Partial regular solution to the coupled spin polarized system in three dimensions ⋮ A fourth-order dispersive flow equation for closed curves on compact Riemann surfaces ⋮ Low-regularity Schrödinger maps. II: Global well-posedness in dimensions \(d \geq 3\) ⋮ Quadratic derivative nonlinear Schrödinger equations in two space dimensions ⋮ Local nonautonomous Schrödinger flows on Kähler manifolds ⋮ Long wave limit for Schrödinger maps ⋮ Uniqueness Of 1D generalized bi-Schrödinger flow ⋮ Local existence of a fourth-order dispersive curve flow on locally Hermitian symmetric spaces and its application ⋮ Remarks on local theory for Schrödinger maps near harmonic maps ⋮ Partial regularity to the Landau-Lifshitz equation with spin accumulation ⋮ An Approximation Scheme for Schrödinger Maps ⋮ Biharmonic wave maps: local wellposedness in high regularity
This page was built for publication: The Cauchy problem for Schrödinger flows into Kähler manifolds
