Sobolev Spaces with Weights in Domains and Boundary Value Problems for Degenerate Elliptic Equations

نویسنده

  • S. V. Lototsky
چکیده

A family of Banach spaces is introduced to control the interior smoothness and boundary behavior of functions in a general domain. Interpolation, embedding, and other properties of the spaces are studied. As an application, a certain degenerate second-order elliptic partial differential equation is considered.

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تاریخ انتشار 2001