Regularity of Wave-Maps in Dimension 2 + 1

2009/07/17 by Jacob Sterbenz, Daniel Tataru
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Combinatorics #Dimension (graph theory) #Geology #Mathematical Analysis and Transform Methods #Mathematical analysis #Mathematics #Nonlinear Waves and Solitons #Physics #Pure mathematics #Type (biology) #math-ph #math.AP #math.MP #msc:35L70

paper · pdf · doi:10.1007/s00220-010-1062-3

31 pages

arxiv created 2009/07/17 · openalex publication_date 2010/05/22 · arxiv updated 2015/05/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

In this article we prove a Sacks-Uhlenbeck/Struwe type global regularity result for wave-maps Φ:ℝ²⁺¹ \toM into general compact target manifolds M .

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