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Extensions from the Sobolev Spaces H 1 Satisfying Prescribed Dirichlet Boundary Conditions

Authors:	Alexander Ženíšek

Affiliation:	(1) Department of Mathematics, Faculty of Mechanical Engineering VUT, Technická 2, 616 69 Brno, Czech Republic

Abstract:	Extensions from H¹(_P) into H¹() (where _P ) are constructed in such a way that extended functions satisfy prescribed boundary conditions on the boundary of . The corresponding extension operator is linear and bounded.

Keywords:	extensions satisfying prescribed boundary conditions Nikolskij extension theorem
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