Evolution Equations and Applications: Semigroups and Abstract Cauchy Problems - Softcover

Degla, Guy; Ndambomve, Patrice

Softcover

ISBN 10: 3659278556 ISBN 13: 9783659278556

Publisher: 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.

About this title

About the Author

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).

Edition details

• Publisher: LAP LAMBERT Academic Publishing
• Publication date: 2012
• ISBN 10: 3659278556
• ISBN 13: 9783659278556
• Binding: Paperback
• Language: English
• Number of pages: 100