@Article{JPDE-30-317, author = {Kneuss , O.}, title = {Optimal Regularity and Control of the Support for the Pullback Equation}, journal = {Journal of Partial Differential Equations}, year = {2017}, volume = {30}, number = {4}, pages = {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 $$ϕ ∗ (g) = f \;\; {\rm in}  \;\; Ω \quad  {\rm\ and \quad supp}  \;\;(ϕ−id)⊂Ω.$$

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v30.n4.3}, url = {http://global-sci.org/intro/article_detail/jpde/10677.html} }