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 : Springer Basel : Imprint: Birkhäuser, 2013.
• Έκδοση: 2nd ed. 2013.
• Σειρά: 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. The exposition leads the reader through the general theory based on abstract (pseudo-) monotone or accretive operators as fast as possible towards the analysis of...

Πίνακας περιεχομένων:

• Preface
• Preface to the 2nd edition
• Notational conventions
• 1 Preliminary general material
• I Steady-state problems
• 2 Pseudomonotone or weakly continuous mappings
• 3 Accretive mappings
• 4 Potential problems: smooth case
• 5 Nonsmooth problems; variational inequalities
• 6. Systems of equations: particular examples
• II Evolution problems
• 7 Special auxiliary tools
• 8 Evolution by pseudomonotone or weakly continuous mappings
• 9 Evolution governed by accretive mappings
• 10 Evolution governed by certain set-valued mappings
• 11 Doubly-nonlinear problems
• 12 Systems of equations: particular examples
• References
• Index.