Optimal Regularity and Control of the Support for the Pullback Equation

Optimal Regularity and Control of the Support for the Pullback Equation

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

Author Details

O. Kneuss

  1. Vector-Valued Partial Differential Equations and Applications

    The Pullback Equation

    Dacorogna, Bernard

    2017

    https://doi.org/10.1007/978-3-319-54514-1_1 [Citations: 0]