000 03119nam a22004575i 4500
001 978-3-540-45942-2
003 DE-He213
005 20160624101821.0
007 cr nn 008mamaa
008 121227s1988 gw | s |||| 0|eng d
020 _a9783540459422
_9978-3-540-45942-2
024 7 _a10.1007/BFb0086682
_2doi
050 4 _aQA299.6-433
072 7 _aPBK
_2bicssc
072 7 _aMAT034000
_2bisacsh
082 0 4 _a515
_223
100 1 _aDauge, Monique.
_eauthor.
245 1 0 _aElliptic Boundary Value Problems on Corner Domains
_h[electronic resource] :
_bSmoothness and Asymptotics of Solutions /
_cby Monique Dauge.
260 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c1988.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c1988.
300 _aVIII, 264 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1341
505 0 _aPreliminaries -- Fredholm and semi-Fredholm results -- Proofs -- Two-dimensional domains -- Singularities along the edges -- Laplace operator -- Variational boundary value problems on smooth domains -- Variational boundary value problems on polyhedral domains.
520 _aThis research monograph focusses on a large class of variational elliptic problems with mixed boundary conditions on domains with various corner singularities, edges, polyhedral vertices, cracks, slits. In a natural functional framework (ordinary Sobolev Hilbert spaces) Fredholm and semi-Fredholm properties of induced operators are completely characterized. By specially choosing the classes of operators and domains and the functional spaces used, precise and general results may be obtained on the smoothness and asymptotics of solutions. A new type of characteristic condition is introduced which involves the spectrum of associated operator pencils and some ideals of polynomials satisfying some boundary conditions on cones. The methods involve many perturbation arguments and a new use of Mellin transform. Basic knowledge about BVP on smooth domains in Sobolev spaces is the main prerequisite to the understanding of this book. Readers interested in the general theory of corner domains will find here a new basic theory (new approaches and results) as well as a synthesis of many already known results; those who need regularity conditions and descriptions of singularities for numerical analysis will find precise statements and also a means to obtain further one in many explicit situtations.
650 0 _aMathematics.
650 0 _aGlobal analysis (Mathematics).
650 1 4 _aMathematics.
650 2 4 _aAnalysis.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783540501695
786 _dSpringer
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1341
856 4 0 _uhttp://dx.doi.org/10.1007/BFb0086682
942 _2EBK1358
_cEBK
999 _c30652
_d30652