Nonlinear Partial Differential Equations with Applications

• Κύριος συγγραφέας: Roubíček, Tomáš (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Basel : Birkhäuser Basel, 2005.
• Σειρά: ISNM International Series of Numerical Mathematics ; 153
• Θέματα: Mathematics.; Difference equations.; Functional equations.; Partial differential equations.; Computer mathematics.; Numerical analysis.; Difference and Functional Equations.; Partial Differential Equations.; Computational Mathematics and Numerical Analysis.; Numerical Analysis.

This book primarily concerns quasilinear and semilinear elliptic and parabolic partial differential equations, inequalities, and systems. It balances the abstract functional-analysis approach based on nonlinear monotone, pseudomonotone, weakly continuous, or accretive mappings with concrete partial...

Πίνακας περιεχομένων:

• 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.