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Analytical Methods for Markov Semigroups

Luca Lorenzi, Marcello Bertoldi
Livre relié | Anglais | Pure and Applied Mathematics
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Description

For the first time in book form, Analytical Methods for Markov Semigroups provides a comprehensive analysis on Markov semigroups both in spaces of bounded and continuous functions as well as in Lp spaces relevant to the invariant measure of the semigroup. Exploring specific techniques and results, the book collects and updates the literature associated with Markov semigroups.

Divided into four parts, the book begins with the general properties of the semigroup in spaces of continuous functions: the existence of solutions to the elliptic and to the parabolic equation, uniqueness properties and counterexamples to uniqueness, and the definition and properties of the weak generator. It also examines properties of the Markov process and the connection with the uniqueness of the solutions. In the second part, the authors consider the replacement of RN with an open and unbounded domain of RN. They also discuss homogeneous Dirichlet and Neumann boundary conditions associated with the operator A. The final chapters analyze degenerate elliptic operators A and offer solutions to the problem.

Using analytical methods, this book presents past and present results of Markov semigroups, making it suitable for applications in science, engineering, and economics.

Spécifications

Parties prenantes

Auteur(s) :
Editeur:

Contenu

Nombre de pages :
526
Langue:
Anglais
Collection :

Caractéristiques

EAN:
9781584886594
Date de parution :
01-08-06
Format:
Livre relié
Format numérique:
Genaaid
Dimensions :
160 mm x 231 mm
Poids :
870 g

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