Semigroup Methods for Evolution Equations on Networks

• Κύριος συγγραφέας: Mugnolo, Delio (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2014.
• Σειρά: Understanding Complex Systems,
• Θέματα: Physics.; System theory.; Graph theory.; Statistical physics.; Complexity, Computational.; Complex Networks.; Graph Theory.; Nonlinear Dynamics.; Complex Systems.; Complexity.

This concise text is based on a series of lectures held only a few years ago and originally intended as an introduction to known results on linear hyperbolic and parabolic equations.  Yet the topic of differential equations on graphs, ramified spaces, and more general network-like objects has recent...

Πίνακας περιεχομένων:

• Introduction
• Operators on Networks
• Function Spaces on Networks
• Operator Semigroups
• And Now Something Completely Different: A Crash Course in Cortical Modeling
• Sequilinear Froms and Analytic Semigroups
• Evolution Equations Associated With Self-adjoint Operators
• Symmetry Properties
• Index.