Self-similar solutions of Schrödinger flows

DOI10.1007/s00526-008-0198-xzbMath1167.35510OpenAlexW1988394207MaRDI QIDQ1006420

Chongchun Zeng, Hongyan Tang, Wei-Yue Ding

Publication date: 24 March 2009

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-008-0198-x

zbMATH Keywords

Riemannian manifoldsSchrödinger flowequivariant self-similar solutions

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Elliptic equations on manifolds, general theory (58J05)

Related Items (7)

Self-similar solutions for the Schrödinger map equation ⋮ Existence and uniqueness of local regular solution to the Schrödinger flow from a bounded domain in \(\mathbb{R}^3\) into \(\mathbb{S}^2\) ⋮ Equivariant heat and Schrödinger flows from Euclidean space to complex projective space ⋮ The fractional Landau-Lifshitz-Gilbert equation and the heat flow of harmonic maps ⋮ Traveling vortex helices for Schrödinger map equations ⋮ Symplectic flow for the square root of the negative Laplacian ⋮ Existence and Hölder regularity of the fractional Landau-Lifshitz equation without Gilbert damping term

Cites Work

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• Harmonic and quasi-harmonic spheres
• Singularities of first kind in the harmonic map and Yang-Mills heat flows
• Local Schrödinger flow into Kähler manifolds
• Schrödinger maps
• Harmonic Mappings of Riemannian Manifolds

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