000 02557nam a22004575i 4500
001 978-3-540-44772-6
003 DE-He213
005 20160624101819.0
007 cr nn 008mamaa
008 121227s1995 gw | s |||| 0|eng d
020 _a9783540447726
_9978-3-540-44772-6
024 7 _a10.1007/BFb0094482
_2doi
050 4 _aQA299.6-433
072 7 _aPBK
_2bicssc
072 7 _aMAT034000
_2bisacsh
082 0 4 _a515
_223
100 1 _aKoshelev, Alexander.
_eauthor.
245 1 0 _aRegularity Problem for Quasilinear Elliptic and Parabolic Systems
_h[electronic resource] /
_cby Alexander Koshelev.
260 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c1995.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c1995.
300 _aXXII, 262 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 ;
_v1614
505 0 _aWeak solutions and the universal iterative process -- Regularity of solutions for non degenerated quasilinear second order elliptic systems of the divergent form with bounded nonlinearities -- Some properties and applications of regular solutions for quasilinear elliptic systems -- Diffeentiability of solutions for second order elliptic systems -- Regularity of solutions for parabolic systems with some applications -- The Navier-Stokes system; strong solutions.
520 _aThe smoothness of solutions for quasilinear systems is one of the most important problems in modern mathematical physics. This book deals with regular or strong solutions for general quasilinear second-order elliptic and parabolic systems. Applications in solid mechanics, hydrodynamics, elasticity and plasticity are described. The results presented are based on two main ideas: the universal iterative method, and explicit, sometimes sharp, coercivity estimates in weighted spaces. Readers are assumed to have a standard background in analysis and PDEs.
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:
_z9783540602514
786 _dSpringer
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1614
856 4 0 _uhttp://dx.doi.org/10.1007/BFb0094482
942 _2EBK1280
_cEBK
999 _c30574
_d30574