Estimates for Completely Integrable Systems of Differential Operators and Applications
A criterion for the complete integrability of some class of systems of differential equations is established. In the proof, the corresponding system for a matrix-valued function Z of class W 1,p (Ω) is used. Applications to differential geometry (in particular, the stability in the Bonnet theorem) are discussed.
KeywordsQuadratic Form Fundamental Form Sobolev Embedding Theorem Bonnet Theorem Cauchy Condition
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