Approximation of planar Sobolev W2,1 homeomorphisms by Piecewise Quadratic Homeomorphisms and Diffeomorphisms
Abstract
Given a Sobolev homeomorphism f∈ W2,1 in the plane we find a piecewise quadratic homeomorphism that approximates it up to a set of ε measure. We show that this piecewise quadratic map can be approximated by diffeomorphisms in the W2,1 norm on this set.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.