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

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Abstract

Extensions from H 1(ΩP) into H 1(Ω) (where ΩP ⊂ Ω) are constructed in such a way that extended functions satisfy prescribed boundary conditions on the boundary ∂Ω of Ω. The corresponding extension operator is linear and bounded.

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  1. Department of Mathematics, Faculty of Mechanical Engineering VUT, Technická 2, 616 69, Brno, Czech Republic

    Alexander Ženíšek

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  1. Alexander Ženíšek
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Ženíšek, A. Extensions from the Sobolev Spaces H 1 Satisfying Prescribed Dirichlet Boundary Conditions. Applications of Mathematics 49, 405–413 (2004). https://doi.org/10.1023/B:APOM.0000048120.75291.a5

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  • DOI: https://doi.org/10.1023/B:APOM.0000048120.75291.a5

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