Year: 2017
Author: O. Kneuss
Journal of Partial Differential Equations, Vol. 30 (2017), Iss. 4 : pp. 317–328
Abstract
Given f ,g two Cr,α either symplectic forms or volume forms on a bounded open set Ω ⊂Rn with 0<α<1 and r ≥0, we give natural conditions for the existence of a map ϕ∈Diffr+1,α(Ω;Ω) satisfying $$ϕ ∗ (g) = f \;\; {\rm in} \;\; Ω \quad {\rm\ and \quad supp} \;\;(ϕ−id)⊂Ω.$$
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v30.n4.3
Journal of Partial Differential Equations, Vol. 30 (2017), Iss. 4 : pp. 317–328
Published online: 2017-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: Symplectic forms