Absolutely Continuous Flows Generated by
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Vladimir Bogachev; Eduardo Mayer-Wolf
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Article
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1999
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Elsevier Science
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English
โ 434 KB
We prove the existence of the global flow [U t ] generated by a vector field A from a Sobolev class W 1, 1 (+) on a finite-or infinite-dimensional space X with a measure +, provided + is sufficiently smooth and that a {A and |$ + A| (where $ + A is the divergence with respect to +) are exponentially