Remarks on the Prehistory of Sobolev Spaces

Joachim Naumann

Preprint series: Institut für Mathematik, Humboldt-Universität zu Berlin (ISSN 0863-0976), 36

MSC 2000

35A99 None of the above, but in this section
Abstract


The paper gives a review on some works which led to the invention of the notion of "Sobolev space". Starting from works on the justification of the Dirichlet principle, we discuss a number of important contributions which form the origins of this function space.

Keywords:Dirichlet principle, absolute continuity, generalized derivative, Sobolev space