Conservation laws for even order elliptic systems in the critical\n dimension -- a new approach

2020/05/13 by Jasmin Hörter, Hörter, Jasmin, Tobias Lamm +1
Mathematics · Physics and Astronomy · #Analysis of PDEs (math.AP) #Black Holes and Theoretical Physics #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.2005.06220

openalex publication_date 2020/05/13 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28

Abstract

We consider elliptic systems of order 2m in dimension 2m which are\ngeneralizations of extrinsic and intrinsic polyharmonic maps. We show the\nexistence of a conservation law for these systems by using a small perturbation\nof Uhlenbeck's gauge fixing matrix.\n

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