The Dirichlet Problem with L -Boundary Data for Elliptic Linear Equations

The Dirichlet problem has a very long history in mathematics and its importance in partial differential equations, harmonic analysis, potential theory and the applied sciences is well-known. In the last decade the Dirichlet problem with L2-boundary data has attracted the attention of several mathema...

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Dades bibliogràfiques
Autor principal: Chabrowski, Jan, 1941-
Format: Livre numérique
Idioma:Anglais
Publicat: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Col·lecció:Lecture notes in mathematics 1482
Matèries:
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Accès Université d'Orléans
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Nota: Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• The Dirichlet problem with L+2*-boundary data for elliptic linear equations, Jan Chabrowski, 1991, Berlin, Springer-Verlag, 1 volume (VI-173 pages), Lecture notes in mathematics, 0-387-54486-0
• The Dirichlet Problem with L2-Boundary Data for Elliptic Linear Equations, Texte imprimé, 9783662171950
Taula de continguts:
  • Weighted Sobolev space
  • The Dirichlet problem in a half-space
  • The Dirichlet problem in a bounded domain
  • Estimates of derivatives
  • Harmonic measure
  • Exceptional sets on the boundary
  • Applications of the L 2-method
  • Domains with C1,?-boundary
  • The space C n?1( )
  • C n?1-estimate of the solution of the Dirichlet problem with L 2-boundary data.