E-Book, Englisch, Band 153, 423 Seiten, eBook
Roubicek Nonlinear Partial Differential Equations with Applications
2005
ISBN: 978-3-7643-7397-9
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, Band 153, 423 Seiten, eBook
Reihe: International Series of Numerical Mathematics
ISBN: 978-3-7643-7397-9
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
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.
Zielgruppe
Professional/practitioner
Autoren/Hrsg.
Weitere Infos & Material
Preliminary general material.- Steady-State Problems.- Pseudomonotone or weakly continuous mappings.- Accretive mappings.- Potential problems: smooth case.- Nonsmooth problems; variational inequalities.- Systems of equations: particular examples.- Evolution Problems.- Special auxiliary tools.- Evolution by pseudomonotone or weakly continuous mappings.- Evolution governed by accretive mappings.- Evolution governed by certain set-valued mappings.- Doubly-nonlinear problems.- Systems of equations: particular examples.
