Dynamics of Partial Differential Equations
Volume 20 (2023)
Flowbox theorems for a class of Sobolev vector fields
Pages: 23 – 35
We give sufficient conditions for the flowbox theorem for Sobolev vector fields to be valid not only for the general case but also for the conservative case.
Sobolev vector fields, divergence-free vector fields, flowbox theorem
2010 Mathematics Subject Classification
Primary 37C10, 37C15, 46Exx. Secondary 34C40, 35Axx, 37A05.
The author was partially supported by the FCT (Fundação para a Ciência e a Tecnologia) through Centro de Matemática e Aplicações (CMAUBI), by the Universidade da Beira Interior project UID/00212/2020, and by the Project “Means and Extremes in Dynamical Systems” (PTDC/MATPUR/4048/2021). The author also like to thank the CMUP for providing the necessary conditions in which this work was developed.
Accepted 9 October 2022
Published 23 December 2022