Blow-Up Solutions of Modified Schrödinger Maps

DOI10.1080/03605300701588748zbMath1139.35303OpenAlexW2037804858MaRDI QIDQ5459775

Hyungjin Huh

Publication date: 29 April 2008

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605300701588748

zbMATH Keywords

self-dualsystem of two equationspseudo-conformal

Mathematics Subject Classification ID

Analyticity in context of PDEs (35A20) NLS equations (nonlinear Schrödinger equations) (35Q55) Solutions to PDEs in closed form (35C05)

Related Items (6)

Decay rate and energy gap for the singularity solution of the inhomogeneous Landau-Lifshitz equation on \(\mathbb{S}^2\) ⋮ Finite time blowup of multidimensional inhomogeneous isotropic Landau-Lifshitz equation on a hyperbolic space ⋮ Energy decay rate of multidimensional inhomogeneous Landau-Lifshitz-Gilbert equation and Schrödinger map equation on the sphere ⋮ Solitary wave solutions to the multidimensional Landau-Lifshitz equation ⋮ The estimates of the ill-posedness index of the (deformed-) continuous Heisenberg spin equation ⋮ An unconstrained Lagrangian formulation and conservation laws for the Schrödinger map system

Cites Work

• Unnamed Item
• L\({}^ 2\) concentration of blow-up solutions for the nonlinear Schrödinger equation with critical power nonlinearity
• Blow-up of \(H^ 1\) solution for the nonlinear Schrödinger equation
• Existence of self-similar blow-up solutions for Zakharov equation in dimension two. I
• Self-similar solutions of the pseudo-conformally invariant nonlinear Schrödinger equation
• Uniqueness of the Modified Schrödinger Map inH^3/4+ε(ℝ²)
• On the structure and formation of singularities in solutions to nonlinear dispersive evolution equations
• On the blowing up of solutions to the Cauchy problem for nonlinear Schrödinger equations
• Schrödinger maps
• Blowing up time-dependent solutions of the planar, Chern-Simons gauged nonlinear Schrodinger equation
• On Schrödinger maps
• Lower bounds for the blowup rate of solutions of the Zakharov equation in dimension two
• The Cauchy problem for the hyperbolic–elliptic Ishimori system and Schrödinger maps
• Existence of pseudo-conformally invariant solutions to the Davey-Stewartson system

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