Nonlinear Partial Differential Equations with Applications
Search in google:
This book primarily concerns quasilinear and semilinear elliptic and parabolic partial differential equations, inequalities, and systems. The exposition leads general theory as fast as possible towards the analysis of concrete 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 rather an introduction into the subject while some others form an advanced textbook. The intended audience is graduate and PhD students and researchers in the theory of partial differential equations or in mathematical modelling of distributed parameter systems.
1Preliminary general material1ISteady-state problems272Pseudomonotone or weakly continuous mappings293Accretive mappings894Potential problems : smooth case1095Nonsmooth problems; variational inequalities1256Systems of equations : particular examples161IIEvolution problems1857Special auxiliary tools1878Evolution by pseudomonotone or weakly continuous mappings1999Evolution governed by accretive mappings27510Evolution governed by certain set-valued mappings30511Doubly-nonlinear problems32112Systems of equations : particular examples357
