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Solvability of the cohomological equation for regular vector fields on the plane

✍ Scribed by Roberto De Leo


Publisher
Springer
Year
2010
Tongue
English
Weight
420 KB
Volume
39
Category
Article
ISSN
0232-704X

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Solvability of the cohomological equatio
✍ Roberto De Leo πŸ“‚ Article πŸ“… 2010 πŸ› Springer 🌐 English βš– 420 KB

We consider planar vector fields without zeroes ΞΎ and study the image of the associated Lie derivative operators L ΞΎ acting on the space of smooth functions. We show that the cokernel of L ΞΎ is infinite-dimensional as soon as ΞΎ is not topologically conjugate to a constant vector field and that, if t