𝔖 Bobbio Scriptorium
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Uniqueness without continuous dependence in infinite dimension

✍ Scribed by Juan Jorge Schäffer


Publisher
Elsevier Science
Year
1985
Tongue
English
Weight
131 KB
Volume
56
Category
Article
ISSN
0022-0396

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Absolutely Continuous Flows Generated by
✍ Vladimir Bogachev; Eduardo Mayer-Wolf 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 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