Skip to content
Register Sign in Wishlist

Analytic Semigroups and Semilinear Initial Boundary Value Problems

2nd Edition


Part of London Mathematical Society Lecture Note Series

  • Date Published: April 2016
  • availability: In stock
  • format: Paperback
  • isbn: 9781316620861

£ 64.99

Add to cart Add to wishlist

Other available formats:

Looking for an inspection copy?

This title is not currently available on inspection

Product filter button
About the Authors
  • 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.

    • An effective introduction to three interrelated subjects: analytic semigroups, elliptic boundary value problems, and parabolic initial boundary value problems
    • Provides a powerful method for future research
    • Presents principal ideas concretely and explicitly so readers can appreciate the profound relationship between functional analysis and partial differential equations in analysis
    Read more

    Customer reviews

    Not yet reviewed

    Be the first to review

    Review was not posted due to profanity


    , create a review

    (If you're not , sign out)

    Please enter the right captcha value
    Please enter a star rating.
    Your review must be a minimum of 12 words.

    How do you rate this item?


    Product details

    • Edition: 2nd Edition
    • Date Published: April 2016
    • format: Paperback
    • isbn: 9781316620861
    • length: 348 pages
    • dimensions: 228 x 153 x 20 mm
    • weight: 0.5kg
    • contains: 40 b/w illus.
    • availability: In stock
  • Table of Contents

    1. Introduction and main results
    2. Preliminaries from functional analysis
    3. Theory of analytic semigroups
    4. Sobolev imbedding theorems
    5. Lp theory of pseudo-differential operators
    6. Lp approach to elliptic boundary value problems
    7. Proof of theorem 1.1
    8. Proof of theorem 1.2
    9. Proof of theorems 1.3 and 1.4
    Appendix A. The Laplace Transform
    Appendix B. The Maximum Principle
    Appendix C. Vector bundles

  • Author

    Kazuaki Taira, Waseda University, Japan
    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).

Related Books

Sorry, this resource is locked

Please register or sign in to request access. If you are having problems accessing these resources please email

Register Sign in
Please note that this file is password protected. You will be asked to input your password on the next screen.

» Proceed

You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner Please see the permission section of the catalogue page for details of the print & copy limits on our eBooks.

Continue ×

Continue ×

Continue ×
warning icon

Turn stock notifications on?

You must be signed in to your Cambridge account to turn product stock notifications on or off.

Sign in Create a Cambridge account arrow icon

Find content that relates to you

Join us online

This site uses cookies to improve your experience. Read more Close

Are you sure you want to delete your account?

This cannot be undone.


Thank you for your feedback which will help us improve our service.

If you requested a response, we will make sure to get back to you shortly.

Please fill in the required fields in your feedback submission.