This article is cited in 2 papers

On isomorphism of Sobolev spaces of variable order

Nguyen Minh Chuong


Abstract: This article investigates Sobolev spaces of variable order with a norm depending on a complex parameter, and those with weighted norms. An isomorphism theorem is established for Sobolev spaces of variable order. Some applications to a boundary-value problem with discontinuous boundary conditions are considered.
Bibliography: 27 titles.

UDC: 513.881

MSC: Primary 46E35, 35S15; Secondary 47G05

Received: 27.10.1981

 English version: Mathematics of the USSR-Sbornik, 1984, 49:1, 1–17

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