Evolution Equations And Applications: Semigroups And Abstract Cauchy Problems

Degla, Guy; Ndambomve, Patrice; Degla, Guy; Ndambomve, Patrice

ISBN 10: 3659278556 / ISBN 13: 9783659278556

Verlag: Lap Lambert Academic Publishing, 2012

100 pages. 8.66x5.91x0.23 inches. In Stock. Bestandsnummer des Verkäufers 3659278556

Inhaltsangabe:

This project concerns Evolution Equations in Banach spaces and lies at the interface between Functional Analysis, Dynamical Systems, Modeling Theory and Natural Sciences. We present the fundamental theory of abstract Evolution Equations by using the semigroup approach (which arises naturally from well-posed Cauchy problems) and Fixed-point methods. To this end, firstly we review the basic notions of Functional Analysis and Differential Analysis, secondly we study the theory of semigroups of bounded linear operators, and thirdly we consider Linear Evolution Equations (with emphasis on the difference between the finite dimensional and the infinite dimensional cases). Moreover we give existence results (in appropriate sense) for Semilinear Evolution Equations and show the existence of solutions to some Homogeneous Heat Equations, classical Wave equations, nonlinear Heat Equation and some nonlinear Wave equation.

Bibliografische Details

Titel: Evolution Equations And Applications: ...
Verlag: Lap Lambert Academic Publishing
Erscheinungsdatum: 2012
Einband: Paperback
Zustand: Brand New