Approximation of planar BV homeomorphisms by diffeomorphisms
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Functional Analysis"
DOI: 10.1016/j.jfa.2018.10.022
Abstract: Abstract We show that a planar BV homeomorphism can be approximated in the area strict sense, together with its inverse, with smooth or piecewise affine homeomorphisms. read more here.
Keywords: homeomorphisms diffeomorphisms; approximation planar; planar homeomorphisms;
Actions of symplectic homeomorphisms/diffeomorphisms on foliations by curves in dimension 2
Sign Up to like & getrecommendations! Published in 2022 at "Ergodic Theory and Dynamical Systems"
DOI: 10.1017/etds.2021.158
Abstract: The two main results in this paper concern the regularity of the invariant foliation of a $C^0$ -integrable symplectic twist diffeomorphism of the two-dimensional annulus, namely that (i) the generating function of such a foliation… read more here.
Keywords: symplectic homeomorphism; symplectic twist; foliation; homeomorphisms diffeomorphisms ... See more keywords