Kniha Evolution Equations and Applications Guy Degla

Evolution Equations and Applications

Semigroups and Abstract Cauchy Problems

Jazyk: Angličtina
Vazba: Brožovaná
Dostupnost: U nakladatele na objednávku
Odesíláme za 17-27 dnů
1 174
This project concerns Evolution Equations in Banach spaces and lies at the interface between Functio...

Informace o knize

Jazyk
Angličtina
Vazba
Kniha - Brožovaná
Vydáno
2012
Stránek
100
EAN
9783659278556
Enbook ID
06918198
Hmotnost
165
Rozměry
150 x 220 x 6

Kompletní popis

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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