Whitney’s jets for Sobolev functions

• Date: 2007
• Main Authors: Bojarski, B., Боярський, Б.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2007
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3311
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We present two fundamental facts of the jet theory for Sobolev spaces $W^{m, p}$. One of them is that the formal differentiation of $k$-jets theory is compatible with the pointwise definition of Sobolev $(m - 1)$-jet spaces on regular subsets of Euclidean spaces $R^n$. The second result describes t...