Nonlinear partial differential equations with applications / Tomáš Roubíček
Type de document : Livre numériqueCollection : International series of numerical mathematics, 153Langue : anglais.Éditeur : Basel : Birkhäuser, 2013ISBN: 9783034805124.ISSN: 0373-3149.Sujet MSC : 35J60, PDEs - Elliptic equations and elliptic systems, Nonlinear elliptic equations35K55, PDEs - Parabolic equations and parabolic systems, Nonlinear parabolic equations
35J87, PDEs - Elliptic equations and elliptic systems, Unilateral problems for nonlinear elliptic equations and variational inequalities with nonlinear elliptic operators
35K86, PDEs - Parabolic equations and parabolic systems, Unilateral problems for nonlinear parabolic equations and variational inequalities with nonlinear parabolic operators
47H04, Operator theory - Nonlinear operators and their properties, Set-valued operatorsEn-ligne : Springerlink | Zentralblatt
Publisher's description: "This 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 Ph.D. students as well as researchers in the theory of partial differential equations or in mathematical modelling of distributed parameter systems.''
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