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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Bibliografiset tiedot
Päätekijä: Chabrowski, Jan, 1941-
Aineistotyyppi: Livre numérique
Kieli:Anglais
Julkaistu: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Sarja:Lecture notes in mathematics 1482
Aiheet:
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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
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245 1 0 |a The Dirichlet Problem with L -Boundary Data for Elliptic Linear Equations   |c Jan Chabrowski. 
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490 0 |a Lecture notes in mathematics  |v 1482  |x 1617-9692 
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505 0 |a 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. 
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520 |a 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 mathematicians. The significant features of this recent research are the use of weighted Sobolev spaces, existence results for elliptic equations under very weak regularity assumptions on coefficients, energy estimates involving L2-norm of a boundary data and the construction of a space larger than the usual Sobolev space W1,2 such that every L2-function on the boundary of a given set is the trace of a suitable element of this space. The book gives a concise account of main aspects of these recent developments and is intended for researchers and graduate students. Some basic knowledge of Sobolev spaces and measure theory is required. 
650 |a Théorie du potentiel 
650 |a Équations différentielles elliptiques  |x Solutions numériques 
650 |a Problème de Dirichlet 
650 |a Équations différentielles elliptiques 
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