Prescribing the strain of a diffeomorphism and solvability of the singular Cauchy problem

DOI10.1215/S0012-7094-92-06517-3zbMath0769.35001OpenAlexW1488431420MaRDI QIDQ1191878

Georgi I. Kamberov

Publication date: 27 September 1992

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-92-06517-3

zbMATH Keywords

singular differential systemseigenvalues of diffeomorphismsreal- analytic category

Mathematics Subject Classification ID

Analyticity in context of PDEs (35A20) Global Riemannian geometry, including pinching (53C20) Cauchy-Kovalevskaya theorems (35A10) Differential topological aspects of diffeomorphisms (57R50) Propagation of singularities; initial value problems on manifolds (58J47)

Cites Work

• Existence of elastic deformations with prescribed principal strains and triply orthogonal systems
• Sur l'existence locale de certaines métriques riemanniennes plates
• Equation de Lie. I, II
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