An inverse mapping theorem for Sobolev chains and its application

DOI10.1017/S0004972700025880zbMath0516.58008MaRDI QIDQ3664077

Truong Cong Nghe

Publication date: 1983

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

inverse limit topologydecreasing sequence of Banach spacesmaps between Sobolev chains

Mathematics Subject Classification ID

Partial differential equations on manifolds; differential operators (58J99) Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20) Implicit function theorems; global Newton methods on manifolds (58C15)

Cites Work

• Infinite dimensional Lie transformation groups
• A theory of differentiation in locally convex spaces
• Non-linear elliptic operators on a compact manifold and an implicit function theorem
• Seminar on Atiyah-Singer Index Theorem. (AM-57)

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