Książka Evolution Equations and Applications Guy Degla

Evolution Equations and Applications

Semigroups and Abstract Cauchy Problems

Język: Angielski
Oprawa: Miękka
Dostępność: Na zamówienie
Wysyłamy za 17-27 dni
206.44
This project concerns Evolution Equations in Banach spaces and lies at the interface between Functio...

Informacje o książce

Język
Angielski
Oprawa
Książka - Miękka
Data wydania
2012
strony
100
EAN
9783659278556
Enbook ID
06918198
Waga
165
Wymiary
150 x 220 x 6

Pełny opis

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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