Evolution Equations and Applications: Semigroups and Abstract Cauchy Problems - Couverture souple

Degla, Guy; Ndambomve, Patrice

 
9783659278556: Evolution Equations and Applications: Semigroups and Abstract Cauchy Problems
Couverture souple
ISBN 10 : 3659278556 ISBN 13 : 9783659278556
Editeur : LAP LAMBERT Academic Publishing, 2012

Synopsis

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.

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Présentation de l'éditeur

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.

Biographie de l'auteur

PhD Functional Analysis and Applications, SISSA, Trieste, Italy.Researcher at the African University of Science and Technology (AUST), Abuja, Nigeria, and at the Institut de Mathematiques et de Sciences Physiques (IMSP), Porto-Novo, Benin.Joint Project with P. Ndambomve (Teaching Assistant, AUST).

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
LAP LAMBERT Academic Publishing
Date d'édition
2012
Langue
anglais
ISBN 10 
3659278556
ISBN 13 
9783659278556
Reliure
Broché
Nombre de pages
100
Coordonnées du fabricant
non disponible
Personne responsable
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