Nonlinear Partial Differential Equations with Applications

• Main Author: Roubíček, Tomáš (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Basel : Birkhäuser Basel, 2005.
• Series: ISNM International Series of Numerical Mathematics ; 153
• Subjects: 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...

Table of Contents:

• 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.