Weak continuity of the Gauss-Codazzi-Ricci system for isometric embedding

DOI10.1090/S0002-9939-09-10187-9zbMath1194.53047arXiv0904.3583OpenAlexW2028538865MaRDI QIDQ3559015

Marshall Slemrod, Dehua Wang, Gui-Qiang G. Chen

Publication date: 11 May 2010

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

Full work available at URL: https://arxiv.org/abs/0904.3583

zbMATH Keywords

weak convergenceapproximate solutionsminimization problemcompensated compactnessweak continuityselection criterionRiemann curvature tensordiv-curl LemmaGauss--Codazzi--Ricci system

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) PDEs of mixed type (35M10) Hyperbolic conservation laws (35L65) Global submanifolds (53C40) Rigidity results (53C24) Embeddings in differential topology (57R40) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Boundary value problems on manifolds (58J32) Immersions in differential topology (57R42) Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45)

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