Global Schrödinger maps in dimensions \(d\geq 2\): small data in the critical Sobolev spaces

DOI10.4007/annals.2011.173.3.5zbMath1233.35112OpenAlexW2130717137MaRDI QIDQ640770

Daniel Tataru, Ioan Bejenaru, Carlos E. Kenig, Alexandru D. Ionescu

Publication date: 20 October 2011

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4007/annals.2011.173.3.5

zbMATH Keywords

initial-value problemglobal well-posednessSchrödinger mapscaloric gauge

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Initial value problems for second-order parabolic systems (35K45) Time-dependent Schrödinger equations and Dirac equations (35Q41)

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