Abstract Parabolic Evolution Equations and their Applications

• Κύριος συγγραφέας: Yagi, Atsushi (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2010.
• Σειρά: Springer Monographs in Mathematics,
• Θέματα: Mathematics.; Dynamics.; Ergodic theory.; Partial differential equations.; Biomathematics.; Partial Differential Equations.; Dynamical Systems and Ergodic Theory.; Mathematical and Computational Biology.

The semigroup methods are known as a powerful tool for analyzing nonlinear diffusion equations and systems. The author has studied abstract parabolic evolution equations and their applications to nonlinear diffusion equations and systems for more than 30 years. He gives first, after reviewing the th...

Πίνακας περιεχομένων:

• Preliminaries
• Sectorial Operators
• Linear Evolution Equations
• Semilinear Evolution Equations
• Quasilinear Evolution Equations
• Dynamical Systems
• Numerical Analysis
• Semiconductor Models
• Activator–Inhibitor Models
• Belousov–Zhabotinskii Reaction Models
• Forest Kinematic Model
• Chemotaxis Models
• Termite Mound Building Model
• Adsorbate-Induced Phase Transition Model
• Lotka–Volterra Competition Model with Cross-Diffusion
• Characterization of Domains of Fractional Powers.