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Parabolic Boundary Value Problems

  • Book
  • © 1998

Overview

Authors:
  1. Samuil D. Eidelman

    1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev, Ukraine

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    You can also search for this author in PubMed   Google Scholar

  2. Nicolae V. Zhitarashu

    1. Moldova State University, Kishinev, Moldova

    View author publications

    You can also search for this author in PubMed   Google Scholar

Part of the book series: Operator Theory: Advances and Applications (OT, volume 101)

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Table of contents (7 chapters)

  1. Front Matter

    Pages i-xi
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  2. Equations and Problems

    • Samuil D. Eidelman, Nicolae V. Zhitarashu
    Pages 1-26

  3. Functional Spaces

    • Samuil D. Eidelman, Nicolae V. Zhitarashu
    Pages 27-45

  4. Linear Operators

    • Samuil D. Eidelman, Nicolae V. Zhitarashu
    Pages 47-77

  5. Parabolic Boundary Value Problems in Half-Space

    • Samuil D. Eidelman, Nicolae V. Zhitarashu
    Pages 79-149

  6. Parabolic Boundary Value Problems in Cylindrical Domains

    • Samuil D. Eidelman, Nicolae V. Zhitarashu
    Pages 151-179

  7. The Cauchy Problem and Parabolic Boundary Value Problems in Spaces of Smooth Functions

    • Samuil D. Eidelman, Nicolae V. Zhitarashu
    Pages 181-232

  8. Behaviour of Solutions of Parabolic Boundary Value Problems for Large Values of Time

    • Samuil D. Eidelman, Nicolae V. Zhitarashu
    Pages 233-282

  9. Back Matter

    Pages 283-300
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Keywords

About this book

The present monograph is devoted to the theory of general parabolic boundary value problems. The vastness of this theory forced us to take difficult decisions in selecting the results to be presented and in determining the degree of detail needed to describe their proofs. In the first chapter we define the basic notions at the origin of the theory of parabolic boundary value problems and give various examples of illustrative and descriptive character. The main part of the monograph (Chapters II to V) is devoted to a the detailed and systematic exposition of the L -theory of parabolic 2 boundary value problems with smooth coefficients in Hilbert spaces of smooth functions and distributions of arbitrary finite order and with some natural appli­ cations of the theory. Wishing to make the monograph more informative, we included in Chapter VI a survey of results in the theory of the Cauchy problem and boundary value problems in the traditional spaces of smooth functions. We give no proofs; rather, we attempt to compare different results and techniques. Special attention is paid to a detailed analysis of examples illustrating and complementing the results for­ mulated. The chapter is written in such a way that the reader interested only in the results of the classical theory of the Cauchy problem and boundary value problems may concentrate on it alone, skipping the previous chapters.

Authors and Affiliations

  • Institute of Mathematics, Ukrainian Academy of Sciences, Kiev, Ukraine

    Samuil D. Eidelman

  • Moldova State University, Kishinev, Moldova

    Nicolae V. Zhitarashu

Bibliographic Information

  • Book Title: Parabolic Boundary Value Problems

  • Authors: Samuil D. Eidelman, Nicolae V. Zhitarashu

  • Series Title: Operator Theory: Advances and Applications

  • DOI: https://doi.org/10.1007/978-3-0348-8767-0

  • Publisher: Birkhäuser Basel

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Basel AG 1998

  • Softcover ISBN: 978-3-0348-9765-5Published: 24 October 2012

  • eBook ISBN: 978-3-0348-8767-0Published: 06 December 2012

  • Series ISSN: 0255-0156

  • Series E-ISSN: 2296-4878

  • Edition Number: 1

  • Number of Pages: XI, 300

  • Topics: Analysis

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