A controlling norm for energy-critical Schrödinger maps

DOI10.1090/S0002-9947-2015-06417-4zbMath1328.35210arXiv1302.3879OpenAlexW2962994250MaRDI QIDQ2944823

Benjamin Dodson, Paul Smith

Publication date: 8 September 2015

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.3879

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items

Local well-posedness of the Landau–Lifshitz equation with helicity term ⋮ CONDITIONAL LARGE INITIAL DATA SCATTERING RESULTS FOR THE DIRAC–KLEIN–GORDON SYSTEM ⋮ Asymptotic Stability of Harmonic Maps on the Hyperbolic Plane under the Schrödinger Maps Evolution ⋮ Global Schrödinger map flows to Kähler manifolds with small data in critical Sobolev spaces: energy critical case ⋮ Unnamed Item ⋮ Global Schrödinger map flows to Kähler manifolds with small data in critical Sobolev spaces: high dimensions ⋮ Finite energy global well-posedness of the Yang-Mills equations on \(\mathbb{R}^{1+3}\): an approach using the Yang-Mills heat flow

Cites Work

• Unnamed Item
• Equivariant Schrödinger maps in two spatial dimensions: the \(\mathbb{H}^2\) target
• Equivariant Schrödinger maps in two spatial dimensions
• Conditional global regularity of Schrödinger maps: Subthreshold dispersed energy
• Low-regularity Schrödinger maps.
• Global Schrödinger maps in dimensions \(d\geq 2\): small data in the critical Sobolev spaces
• Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations
• On the continuous limit for a system of classical spins
• Quantization of planar ferromagnets in the Chern-Simons representation
• Global existence and uniqueness of Schrödinger maps in dimensions \(d\geq 4\)
• On the well-posedness of the wave map problem in high dimensions
• Low-regularity Schrödinger maps. II: Global well-posedness in dimensions \(d \geq 3\)
• Geometric Renormalization Below the Ground State
• An Approximation Scheme for Schrödinger Maps
• On Schrödinger maps
• Bilinear virial identities and applications
• Schrödinger maps
• Global Results for Schrödinger Maps in Dimensionsn ≥ 3

This page was built for publication: A controlling norm for energy-critical Schrödinger maps