Analytic Semigroups And Semilinear Initial Boundary Value Problems
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Analytic Semigroups and Semilinear Initial Boundary Value Problems
Provides a careful and accessible exposition of initial boundary value problems for semilinear differential equations.
Analytic Semigroups and Semilinear Initial Boundary Value Problems
Author: Kazuaki Taira
language: en
Publisher: Cambridge University Press
Release Date: 2016-04-28
A careful and accessible exposition of a functional analytic approach to initial boundary value problems for semilinear parabolic differential equations, with a focus on the relationship between analytic semigroups and initial boundary value problems. This semigroup approach is distinguished by the extensive use of the ideas and techniques characteristic of the recent developments in the theory of pseudo-differential operators, one of the most influential works in the modern history of analysis. Complete with ample illustrations and additional references, this new edition offers both streamlined analysis and better coverage of important examples and applications. A powerful method for the study of elliptic boundary value problems, capable of further extensive development, is provided for advanced undergraduates or beginning graduate students, as well as mathematicians with an interest in functional analysis and partial differential equations.
Boundary Value Problems and Markov Processes
Author: Kazuaki Taira
language: en
Publisher: Springer Science & Business Media
Release Date: 2009-06-30
This is a thorough and accessible exposition on the functional analytic approach to the problem of construction of Markov processes with Ventcel’ boundary conditions in probability theory. It presents new developments in the theory of singular integrals.