000 03406nam a22005295i 4500
001 978-3-7643-7397-9
003 DE-He213
005 20161121230935.0
007 cr nn 008mamaa
008 100301s2005 sz | s |||| 0|eng d
020 _a9783764373979
_9978-3-7643-7397-9
024 7 _a10.1007/3-7643-7397-0
_2doi
050 4 _aQA431
072 7 _aPBKJ
_2bicssc
072 7 _aMAT034000
_2bisacsh
082 0 4 _a515.625
_223
082 0 4 _a515.75
_223
100 1 _aRoubíček, Tomáš.
_eauthor.
245 1 0 _aNonlinear Partial Differential Equations with Applications
_h[electronic resource] /
_cby Tomáš Roubíček.
264 1 _aBasel :
_bBirkhäuser Basel,
_c2005.
300 _aXVIII, 405 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aISNM International Series of Numerical Mathematics ;
_v153
505 0 _aPreliminary general material -- Steady-State Problems -- Pseudomonotone or weakly continuous mappings -- Accretive mappings -- Potential problems: smooth case -- Nonsmooth problems; variational inequalities -- Systems of equations: particular examples -- Evolution Problems -- Special auxiliary tools -- Evolution by pseudomonotone or weakly continuous mappings -- Evolution governed by accretive mappings -- Evolution governed by certain set-valued mappings -- Doubly-nonlinear problems -- Systems of equations: particular examples.
520 _aThis book primarily concerns quasilinear and semilinear elliptic and parabolic partial differential equations, inequalities, and systems. It balances the abstract functional-analysis approach based on nonlinear monotone, pseudomonotone, weakly continuous, or accretive mappings with concrete partial differential equations in their weak (or more general) formulation. Methods of Galerkin or of Rothe are exposed in a large generality. Other methods include various direct methods, regularization, or fixed points. The exposition leads general theory as fast as possible towards the analysis of concrete equations, which have specific applications in continuum (thermo-) mechanics of solids and fluids, electrically (semi-) conductive media, modelling of biological systems, or in mechanical engineering. Selected parts are rather an introduction into the subject while some others form an advanced textbook. The intended audience is graduate and PhD students and researchers in the theory of partial differential equations or in mathematical modelling of distributed parameter systems.
650 0 _aMathematics.
650 0 _aDifference equations.
650 0 _aFunctional equations.
650 0 _aPartial differential equations.
650 0 _aComputer mathematics.
650 0 _aNumerical analysis.
650 1 4 _aMathematics.
650 2 4 _aDifference and Functional Equations.
650 2 4 _aPartial Differential Equations.
650 2 4 _aComputational Mathematics and Numerical Analysis.
650 2 4 _aNumerical Analysis.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783764372934
830 0 _aISNM International Series of Numerical Mathematics ;
_v153
856 4 0 _uhttp://dx.doi.org/10.1007/3-7643-7397-0
912 _aZDB-2-SMA
950 _aMathematics and Statistics (Springer-11649)
999 _c506209
_d506209