Whitney’s jets for Sobolev functions

• Datum: 2007
• Hauptverfasser: Bojarski, B., Боярський, Б.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2007
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/3311
• Назва журналу: 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...