TY - JOUR
T1 - Optimal Regularity and Control of the Support for the Pullback Equation
AU - Kneuss , O.
JO - Journal of Partial Differential Equations
VL - 4
SP - 317
EP - 328
PY - 2017
DA - 2017/11
SN - 30
DO - http://doi.org/10.4208/jpde.v30.n4.3
UR - https://global-sci.org/intro/article_detail/jpde/10677.html
KW - Symplectic forms
KW - volume forms
KW - optimal regularity.
AB - <p>Given f ,g two C<sup>r,α&nbsp;</sup>either symplectic forms or volume forms on a bounded
open set Ω ⊂R<sup>n</sup> with 0&lt;α&lt;1 and r ≥0, we give natural conditions for the existence
of a map ϕ∈Diff<sup>r+1,α</sup>(Ω;Ω) satisfying $$ϕ
∗
(g) = f \;\; {\rm in}&nbsp; \;\; Ω \quad&nbsp; {\rm\ and \quad supp}&nbsp; \;\;(ϕ−id)⊂Ω.$$</p>