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 -

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 $$ϕ ∗ (g) = f \;\; {\rm in}  \;\; Ω \quad  {\rm\ and \quad supp}  \;\;(ϕ−id)⊂Ω.$$