Abstract
This book primarily concerns quasilinear and semilinear elliptic and parabolic partial differential equations, inequalities, and systems. The exposition leads gen- eral theory based on abstract (pseudo) monotone or accretive operators as fast as possible towards the analysis of concrete differential equations, which have spe- cific applications in continuum (thermo-) mechanics of solids and fluids, electri- cally (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 2nd 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 gradu- ate and PhD students and researchers in the theory of partial differential equations or in mathematical modelling of distributed parameter systems.