Sobolev Trace Theorem and the Dirichlet Problem in the Unit Disk

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書誌事項

公開日
2014-05-23
資源種別
journal article
権利情報
  • http://www.springer.com/tdm
DOI
  • 10.1007/s00032-014-0222-x
公開者
Springer Science and Business Media LLC

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説明

We give a direct and elementary proof for the trace theorem in L p -based Sobolev spaces, when the domain is the unit disk. We also consider the Dirichlet boundary problem for the Laplace equation, where the boundary value is a function in the Besov space. The Poisson kernel enables us to solve this problem in the unit disk more easily than in a general domain.

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