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Abstract Parabolic Evolution Equations and their Applications

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...

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Détails bibliographiques
Cote:Libro Electrónico
Auteur principal: Yagi, Atsushi (Auteur)
Collectivité auteur: SpringerLink (Online service)
Format: Électronique eBook
Langue:Inglés
Publié: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2010.
Édition:1st ed. 2010.
Collection:Springer Monographs in Mathematics,
Sujets:
Accès en ligne:Texto Completo
Table des matières:
  • 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.