Analytic Semigroups and Semilinear Initial Boundary Value Problems (Paperback)

Kazuaki Taira

ISBN 10: 1316620867 / ISBN 13: 9781316620861

Published by Cambridge University Press, Cambridge, 2016

About this Item

Paperback. 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. A careful and accessible exposition of a functional analytic approach to initial boundary value problems for semilinear parabolic differential equations. This second edition explores the relationship between elliptic and semilinear parabolic initial boundary value problems, focusing on the study of analytic semigroups. It is ideal for advanced undergraduate and graduate students. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.

Seller Inventory # 9781316620861

Bibliographic Details

• Title: Analytic Semigroups and Semilinear Initial Boundary Value Problems (Paperback)
• Publisher: Cambridge University Press, Cambridge
• Publication Date: 2016
• Language: English
• ISBN 10: 1316620867
• ISBN 13: 9781316620861
• Binding: Paperback
• Edition: 2nd Edition
• Condition: new

About this title

Synopsis

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.

About the Author

Kazuaki Taira is a part-time professor at Waseda University, Japan. He previously worked as a professor of mathematics at Hiroshima University from 1995 until 1998 and at the University of Tsukuba from 1998 until 2009. Taira has authored many books, the most recent being the second edition of Semigroups, Boundary Value Problems and Markov Processes (2014).