Strong Precompactness of Bounded Sequences Under Nonlinear Ultraparabolic Differential Constraints


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Abstract

It is shown that bounded sequences satisfying nonlinear differential constraints, strongly precompact under an exact condition of nondegeneration of these conditions. The proof is based on new localization principles for ultraparabolic H-measures with continuous indices.

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E. Yu. Panov

Novgorod State University

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Email: Eugeny.Panov@novsu.ru
Russian Federation, 41, Bol’shaya St.-Peterburgskaya ul., Velikiy Novgorod, 173003

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