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Analytical methods for Markov semigroups

Analytical methods for Markov semigroups

Material type
단행본
Personal Author
Lorenzi, Luca. Bertoldi, Marcello.
Title Statement
Analytical methods for Markov semigroups / Luca Lorenzi, Marcello Bertoldi.
Publication, Distribution, etc
Boca Raton :   Chapman & Hall/CRC ,   c2007.  
Physical Medium
xxxi, 526 p. : ill. ; 24 cm.
Series Statement
Monographs and textbooks in pure and applied mathematics ; 283
ISBN
1584886595 (acid-free paper) 9781584886594
Bibliography, Etc. Note
Includes bibliographical references (p. 511-522) and index.
Subject Added Entry-Topical Term
Markov processes. Semigroups.
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008 060609s2007 flua b 001 0 eng
010 ▼a 2006045837
020 ▼a 1584886595 (acid-free paper)
020 ▼a 9781584886594
035 ▼a (KERIS)REF000012667677
040 ▼a DLC ▼c DLC ▼d BAKER ▼d C#P ▼d YDXCP ▼d OCLCQ ▼d DLC ▼d 211009
050 0 0 ▼a QA274.7 ▼b .L67 2007
082 0 0 ▼a 512/.27 ▼2 22
090 ▼a 512.27 ▼b L869a
100 1 ▼a Lorenzi, Luca.
245 1 0 ▼a Analytical methods for Markov semigroups / ▼c Luca Lorenzi, Marcello Bertoldi.
260 ▼a Boca Raton : ▼b Chapman & Hall/CRC , ▼c c2007.
300 ▼a xxxi, 526 p. : ▼b ill. ; ▼c 24 cm.
440 0 ▼a Monographs and textbooks in pure and applied mathematics ; ▼v 283
504 ▼a Includes bibliographical references (p. 511-522) and index.
650 0 ▼a Markov processes.
650 0 ▼a Semigroups.
700 1 ▼a Bertoldi, Marcello.
945 ▼a KINS

Holdings Information

No. Location Call Number Accession No. Availability Due Date Make a Reservation Service
No. 1 Location Science & Engineering Library/Sci-Info(Stacks2)/ Call Number 512.27 L869a Accession No. 121139894 Availability Available Due Date Make a Reservation Service B M

Contents information

Table of Contents

Introduction
MARKOV SEMIGROUPS IN RN
The Elliptic Equation and the Cauchy Problem in Cb(RN): The Uniformly Elliptic Case
One Dimensional Theory
Uniqueness Results, Conservation of Probability and Maximum Principles
Properties of T(t) in Spaces of Continuous Functions
Uniform Estimates for the Derivatives of T(t)f
Pointwise Estimates for the Derivatives of T(t)f
Invariant Measures μ and the Semigroup in LP(RN, μ)
The Ornstein-Uhlenbeck Operator
A Class of Nonanalytic Markov Semigroups in Cb(RN) and in Lp(RN, μ)
MARKOV SEMIGROUPS IN UNBOUNDED OPEN SETS
The Cauchy-Dirichlet Problem
The Cauchy-Neumann Problem: The Convex Case
The Cauchy-Neumann Problem: The Nonconvex Case
A CLASS OF MARKOV SEMIGROUPS IN RN ASSOCIATED WITH DEGENERATE ELLIPTIC OPERATORS
The Cauchy Problem in Cb(RN)
APPENDICES
Basic Notions of Functional Analysis in Banach Spaces
An Overview on Strongly Continuous and Analytic Semigroups
PDE's and Analytic Semigroups
Some Properties of the Distance Function
Function Spaces: Definitions and Main Properties
References
Index


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