000 04118nam a22005295i 4500
001 978-3-0348-0513-1
003 DE-He213
005 20140220082836.0
007 cr nn 008mamaa
008 130125s2013 sz | s |||| 0|eng d
020 _a9783034805131
_9978-3-0348-0513-1
024 7 _a10.1007/978-3-0348-0513-1
_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.
250 _a2nd ed. 2013.
264 1 _aBasel :
_bSpringer Basel :
_bImprint: Birkhäuser,
_c2013.
300 _aXX, 476 p. 18 illus., 1 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aInternational Series of Numerical Mathematics ;
_v153
505 0 _aPreface -- Preface to the 2nd edition -- Notational conventions -- 1 Preliminary general material -- I Steady-state problems -- 2 Pseudomonotone or weakly continuous mappings -- 3 Accretive mappings -- 4 Potential problems: smooth case -- 5 Nonsmooth problems; variational inequalities -- 6. Systems of equations: particular examples -- II Evolution problems -- 7 Special auxiliary tools -- 8 Evolution by pseudomonotone or weakly continuous mappings -- 9 Evolution governed by accretive mappings -- 10 Evolution governed by certain set-valued mappings -- 11 Doubly-nonlinear problems -- 12 Systems of equations: particular examples -- References -- Index.
520 _aThis book primarily concerns quasilinear and semilinear elliptic and parabolic partial differential equations, inequalities, and systems. The exposition leads the reader through the general theory based on abstract (pseudo-) monotone or accretive operators as fast as possible towards the analysis of concrete differential 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 mainly an introduction into the subject while some others form an advanced textbook.   The second edition simplifies and extends the exposition at particular spots and augments the applications especially towards thermally coupled systems, magnetism, and more. The intended audience is graduate and PhD students as well as researchers in the theory of partial differential equations or in mathematical modelling of distributed parameter systems.  ------ The monograph contains a wealth of material in both the abstract theory of steady-state or evolution equations of monotone and accretive type and concrete applications to nonlinear partial differential equations from mathematical modeling. The organization of the material is well done, and the presentation, although concise, is clear, elegant and rigorous. (…) this book is a notable addition to the existing literature. Also, it certainly will prove useful to engineers, physicists, biologists and other scientists interested in the analysis of (...) nonlinear differential models of the real world. (Mathematical Reviews)
650 0 _aMathematics.
650 0 _aFunctional equations.
650 0 _aDifferential equations, partial.
650 0 _aComputer science
_xMathematics.
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:
_z9783034805124
830 0 _aInternational Series of Numerical Mathematics ;
_v153
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-0348-0513-1
912 _aZDB-2-SMA
999 _c96296
_d96296