Solvability of the cohomological equation for regular vector fields on the plane
Solvability of the cohomological equation for regular vector fields on the plane
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Publisher
Dordrecht: Springer Netherlands
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Language
English
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Publisher
Dordrecht: Springer Netherlands
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Scope and Contents
Contents
We consider planar vector fields without zeroes
ξ
and study the image of the associated Lie derivative operators
L
ξ
acting on the space of smooth functions. We show that the cokernel of
L
ξ
is infinite-dimensional as soon as
ξ
is not topologically conjugate to a constant vector field and that, if the topology of the i...
Alternative Titles
Full title
Solvability of the cohomological equation for regular vector fields on the plane
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Author / Creator
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Record Identifier
TN_cdi_proquest_miscellaneous_861570131
Permalink
https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_miscellaneous_861570131
Other Identifiers
ISSN
0232-704X
E-ISSN
1572-9060
DOI
10.1007/s10455-010-9231-3
