LEADER 05160nam 22007815 450 001 9910438145303321 005 20200702024352.0 010 $a3-0348-0513-6 024 7 $a10.1007/978-3-0348-0513-1 035 $a(CKB)2670000000337133 035 $a(EBL)1082172 035 $a(OCoLC)827212468 035 $a(SSID)ssj0000870753 035 $a(PQKBManifestationID)11526926 035 $a(PQKBTitleCode)TC0000870753 035 $a(PQKBWorkID)10838737 035 $a(PQKB)10291410 035 $a(DE-He213)978-3-0348-0513-1 035 $a(MiAaPQ)EBC6312793 035 $a(MiAaPQ)EBC1082172 035 $a(Au-PeEL)EBL1082172 035 $a(CaPaEBR)ebr10976352 035 $a(PPN)168307375 035 $a(EXLCZ)992670000000337133 100 $a20130125d2013 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aNonlinear Partial Differential Equations with Applications /$fby Tomá? Roubí?ek 205 $a2nd ed. 2013. 210 1$aBasel :$cSpringer Basel :$cImprint: Birkhäuser,$d2013. 215 $a1 online resource (485 p.) 225 1 $aInternational Series of Numerical Mathematics,$x0373-3149 ;$v153 300 $aDescription based upon print version of record. 311 $a3-0348-0768-6 311 $a3-0348-0512-8 327 $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. 330 $aThis book primarily concerns quasilinear and semilinear elliptic and parabolic partial differential equations, inequalities, and systems. The exposition leads the reader through the general theory based on abstract (pseudo-) monotone or accretive operators as fast as possible towards the analysis of concrete differential equations, which have specific applications in continuum (thermo-) mechanics of solids and fluids, electrically (semi-) conductive media, modelling of biological systems, or in mechanical engineering. Selected parts are mainly an introduction into the subject while some others form an advanced textbook.   The second edition simplifies and extends the exposition at particular spots and augments the applications especially towards thermally coupled systems, magnetism, and more. The intended audience is graduate and PhD students as well as researchers in the theory of partial differential equations or in mathematical modelling of distributed parameter systems.  ------ The monograph contains a wealth of material in both the abstract theory of steady-state or evolution equations of monotone and accretive type and concrete applications to nonlinear partial differential equations from mathematical modeling. The organization of the material is well done, and the presentation, although concise, is clear, elegant and rigorous. (?) this book is a notable addition to the existing literature. Also, it certainly will prove useful to engineers, physicists, biologists and other scientists interested in the analysis of (...) nonlinear differential models of the real world. (Mathematical Reviews). 410 0$aInternational Series of Numerical Mathematics,$x0373-3149 ;$v153 606 $aDifference equations 606 $aFunctional equations 606 $aPartial differential equations 606 $aComputer mathematics 606 $aNumerical analysis 606 $aDifference and Functional Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12031 606 $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155 606 $aComputational Mathematics and Numerical Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M1400X 606 $aNumerical Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M14050 615 0$aDifference equations. 615 0$aFunctional equations. 615 0$aPartial differential equations. 615 0$aComputer mathematics. 615 0$aNumerical analysis. 615 14$aDifference and Functional Equations. 615 24$aPartial Differential Equations. 615 24$aComputational Mathematics and Numerical Analysis. 615 24$aNumerical Analysis. 676 $a515.353 700 $aRoubí?ek$b Tomá?$4aut$4http://id.loc.gov/vocabulary/relators/aut$0536666 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910438145303321 996 $aNonlinear partial differential equations with applications$91414777 997 $aUNINA