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 |