Analytic Semigroups and Semilinear Initial Boundary Value Problems
Title | Analytic Semigroups and Semilinear Initial Boundary Value Problems PDF eBook |
Author | Kazuaki Taira |
Publisher | Cambridge University Press |
Pages | 348 |
Release | 2016-04-28 |
Genre | Mathematics |
ISBN | 1316757358 |
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.
Analytic Semigroups and Semilinear Initial Boundary Value Problems
Title | Analytic Semigroups and Semilinear Initial Boundary Value Problems PDF eBook |
Author | Kazuaki Taira |
Publisher | |
Pages | 176 |
Release | 1995 |
Genre | Electronic books |
ISBN | 9781107367289 |
Provides a careful and accessible exposition of initial boundary value problems for semilinear differential equations.
Analytic Semigroups and Semilinear Initial Boundary Value Problems
Title | Analytic Semigroups and Semilinear Initial Boundary Value Problems PDF eBook |
Author | Kazuaki Taira |
Publisher | Cambridge University Press |
Pages | 348 |
Release | 2016-04-28 |
Genre | Mathematics |
ISBN | 1316620867 |
This second edition explores the relationship between elliptic and parabolic initial boundary value problems, for undergraduate and graduate students.
Boundary Value Problems and Markov Processes
Title | Boundary Value Problems and Markov Processes PDF eBook |
Author | Kazuaki Taira |
Publisher | |
Pages | 132 |
Release | 1991 |
Genre | Boundary value problems |
ISBN | 9783540549963 |
Semigroups, Boundary Value Problems and Markov Processes
Title | Semigroups, Boundary Value Problems and Markov Processes PDF eBook |
Author | Kazuaki Taira |
Publisher | Springer |
Pages | 724 |
Release | 2014-08-07 |
Genre | Mathematics |
ISBN | 3662436965 |
A careful and accessible exposition of functional analytic methods in stochastic analysis is provided in this book. It focuses on the interrelationship between three subjects in analysis: Markov processes, semi groups and elliptic boundary value problems. The author studies a general class of elliptic boundary value problems for second-order, Waldenfels integro-differential operators in partial differential equations and proves that this class of elliptic boundary value problems provides a general class of Feller semigroups in functional analysis. As an application, the author constructs a general class of Markov processes in probability in which a Markovian particle moves both by jumps and continuously in the state space until it 'dies' at the time when it reaches the set where the particle is definitely absorbed. Augmenting the 1st edition published in 2004, this edition includes four new chapters and eight re-worked and expanded chapters. It is amply illustrated and all chapters are rounded off with Notes and Comments where bibliographical references are primarily discussed. Thanks to the kind feedback from many readers, some errors in the first edition have been corrected. In order to keep the book up-to-date, new references have been added to the bibliography. Researchers and graduate students interested in PDEs, functional analysis and probability will find this volume useful.
Boundary Value Problems and Markov Processes
Title | Boundary Value Problems and Markov Processes PDF eBook |
Author | Kazuaki Taira |
Publisher | Springer Science & Business Media |
Pages | 196 |
Release | 2009-06-30 |
Genre | Mathematics |
ISBN | 3642016766 |
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.
Effective Results and Methods for Diophantine Equations over Finitely Generated Domains
Title | Effective Results and Methods for Diophantine Equations over Finitely Generated Domains PDF eBook |
Author | Jan-Hendrik Evertse |
Publisher | Cambridge University Press |
Pages | 241 |
Release | 2022-04-28 |
Genre | Mathematics |
ISBN | 1009005855 |
Provides exceptional coverage of effective solutions for Diophantine equations over finitely generated domains.