000 | 03229nam a22005055i 4500 | ||
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001 | 978-3-540-38400-7 | ||
003 | DE-He213 | ||
005 | 20190213151420.0 | ||
007 | cr nn 008mamaa | ||
008 | 121227s1991 gw | s |||| 0|eng d | ||
020 |
_a9783540384007 _9978-3-540-38400-7 |
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024 | 7 |
_a10.1007/BFb0095750 _2doi |
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050 | 4 | _aQA299.6-433 | |
072 | 7 |
_aPBK _2bicssc |
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072 | 7 |
_aMAT034000 _2bisacsh |
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072 | 7 |
_aPBK _2thema |
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082 | 0 | 4 |
_a515 _223 |
100 | 1 |
_aChabrowski, Jan. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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245 | 1 | 4 |
_aThe Dirichlet Problem with L2-Boundary Data for Elliptic Linear Equations _h[electronic resource] / _cby Jan Chabrowski. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c1991. |
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300 |
_aVI, 173 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
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490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1482 |
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505 | 0 | _aWeighted 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. | |
520 | _aThe 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 | 0 | _aGlobal analysis (Mathematics). | |
650 | 0 | _aPotential theory (Mathematics). | |
650 | 0 | _aFourier analysis. | |
650 | 1 | 4 |
_aAnalysis. _0http://scigraph.springernature.com/things/product-market-codes/M12007 |
650 | 2 | 4 |
_aPotential Theory. _0http://scigraph.springernature.com/things/product-market-codes/M12163 |
650 | 2 | 4 |
_aFourier Analysis. _0http://scigraph.springernature.com/things/product-market-codes/M12058 |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783662171950 |
776 | 0 | 8 |
_iPrinted edition: _z9783540544869 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1482 |
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856 | 4 | 0 | _uhttps://doi.org/10.1007/BFb0095750 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
912 | _aZDB-2-BAE | ||
999 |
_c10590 _d10590 |