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One possible generalization of the concept of Sobolev space

M.D. Malykh

Moscow University Physics Bulletin 2007. 62. N 1. P. 23

  • Article
Annotation

A concept of co-sheaf of Sobolev spaces, which generalizes the concept of Sobolev space, is introduced. A generalization of the Rellich-Friedrichs theorem that covers operators of boundary value problems in unbounded domains, in particular, waveguides, is established.

Authors
M.D. Malykh
Department of Mathematics, Faculty of Physics, Moscow State University, Leninskie Gory, Moscow, 119992, Russia
Issue 1, 2007

Moscow University Physics Bulletin

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