000 03046nam a22004935i 4500
001 978-1-4471-2984-4
003 DE-He213
005 20140220083237.0
007 cr nn 008mamaa
008 120330s2012 xxk| s |||| 0|eng d
020 _a9781447129844
_9978-1-4471-2984-4
024 7 _a10.1007/978-1-4471-2984-4
_2doi
050 4 _aQA370-380
072 7 _aPBKJ
_2bicssc
072 7 _aMAT007000
_2bisacsh
082 0 4 _a515.353
_223
100 1 _aSauvigny, Friedrich.
_eauthor.
245 1 0 _aPartial Differential Equations 2
_h[electronic resource] :
_bFunctional Analytic Methods /
_cby Friedrich Sauvigny.
250 _a2nd ed. 2012.
264 1 _aLondon :
_bSpringer London,
_c2012.
300 _aXVI, 453p. 11 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aUniversitext,
_x0172-5939
505 0 _aOperators in Banach Spaces -- Linear Operators in Hilbert Spaces -- Linear Elliptic Differential Equations -- Weak Solutions of Elliptic Differential Equations -- Nonlinear Partial Differential Equations -- Nonlinear Elliptic Systems -- Boundary Value Problems from Differential Geometry.
520 _aThis two-volume textbook provides comprehensive coverage of partial differential equations, spanning elliptic, parabolic, and hyperbolic types in two and several variables. In this second volume, special emphasis is placed on functional analytic methods and applications to differential geometry. The following topics are treated: solvability of operator equations in Banach spaces  linear operators in Hilbert spaces and spectral theory Schauder's theory of linear elliptic differential equations weak solutions of differential equations  nonlinear partial differential equations and characteristics nonlinear elliptic systems boundary value problems from differential geometry This new second edition of this volume has been thoroughly revised and a new chapter on boundary value problems from differential geometry has been added. In the first volume, partial differential equations by integral representations are treated in a classical way. This textbook will be of particular use to graduate and postgraduate students interested in this field and will be of interest to advanced undergraduate students. It may also be used for independent study.
650 0 _aMathematics.
650 0 _aFunctional analysis.
650 0 _aDifferential equations, partial.
650 0 _aMathematical physics.
650 1 4 _aMathematics.
650 2 4 _aPartial Differential Equations.
650 2 4 _aFunctional Analysis.
650 2 4 _aMathematical Methods in Physics.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9781447129837
830 0 _aUniversitext,
_x0172-5939
856 4 0 _uhttp://dx.doi.org/10.1007/978-1-4471-2984-4
912 _aZDB-2-SMA
999 _c100745
_d100745