Skip to main content
SpringerLink
Log in

Selected Works of S.L. Sobolev

Volume I: Equations of Mathematical Physics, Computational Mathematics, and Cubature Formulas

  • Book
  • © 2006

Overview

Editors:
  1. Gennadii V. Demidenko

    1. Sobolev Institute of Mathematics, Novosibirsk, Russia

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  2. Vladimir L. Vaskevich

    1. Sobolev Institute of Mathematics, Novosibirsk, Russia

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  • First appearance in English of many works by important Russian mathematician S.L. Sobolev (1908–1989)

  • Includes supplementary material: sn.pub/extras

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (40 chapters)

  1. Front Matter

    Pages i-xxviii
    Download chapter PDF

  2. Equations of Mathematical Physics

    1. Front Matter

      Pages 1-1
      Download chapter PDF

    2. Application of the Theory of Plane Waves to the Lamb Problem

      • S. L. Sobolev
      Pages 3-44

    3. On a New Method in the Plane Problem on Elastic Vibrations

      • V. I. Smirnov, S. L. Sobolev
      Pages 45-80

    4. On Application of a New Method to Study Elastic Vibrations in a Space with Axial Symmetry

      • V. I. Smirnov, S. L. Sobolev
      Pages 81-129

    5. On Vibrations of a Half-Plane and a Layer with Arbitrary Initial Conditions

      • S. L. Sobolev
      Pages 131-167

    6. On a New Method of Solving Problems about Propagation of Vibrations

      • S. L. Sobolev
      Pages 169-193

    7. Functionally Invariant Solutions of the Wave Equation

      • S. L. Sobolev
      Pages 195-199

    8. General Theory of Diffraction of Waves on Riemann Surfaces

      • S. L. Sobolev
      Pages 201-262

    9. The Problem of Propagation of a Plastic State

      • S. L. Sobolev
      Pages 263-277

    10. On a New Problem of Mathematical Physics

      • S. L. Sobolev
      Pages 279-332

    11. On Motion of a Symmetric Top with a Cavity Filled with Fluid

      • S. L. Sobolev
      Pages 333-382

    12. On a Class of Problems of Mathematical Physics

      • S. L. Sobolev
      Pages 383-396

  3. Computational Mathematics and Cubature Formulas

    1. Front Matter

      Pages 397-397
      Download chapter PDF

    2. Schwarz’s Algorithm in Elasticity Theory

      • S. L. Sobolev
      Pages 399-403

    3. On Solution Uniqueness of Difference Equations of Elliptic Type

      • S. L. Sobolev
      Pages 405-409

    4. On One Difference Equation

      • S. L. Sobolev
      Pages 411-414

    5. Certain Comments on the Numeric Solutions of Integral Equations

      • S. L. Sobolev
      Pages 415-439

    6. Certain Modern Questions of Computational Mathematics

      • S. L. Sobolev
      Pages 441-442

    7. Functional Analysis and Computational Mathematics

      • L. V. Kantorovich, L. A. Lyusternik, S. L. Sobolev
      Pages 443-444
Back to top

Keywords

About this book

S.L. Sobolev (1908–1989) was a great mathematician of the twentieth century. His selected works included in this volume laid the foundations for intensive development of the modern theory of partial differential equations and equations of mathematical physics, and they were a gold mine for new directions of functional analysis and computational mathematics.

The topics covered in this volume include Sobolev’s fundamental works on equations of mathematical physics, computational mathematics, and cubature formulas. Some of the articles are generally unknown to mathematicians because they were published in journals that are difficult to access.

Reviews

From the reviews:

"Even I, who know very little about partial differential equations and related mathematics, recognize the name of S.L. Sobolev (1908-1989) as one of the most influential contributors to the field in the 20th century. This book is the first volume of his ‘selected works’ … . There is no question that all good research libraries will want to have a copy of this one." (Fernando Q. Gouvêa, Math DL, October, 2006)

Editors and Affiliations

  • Sobolev Institute of Mathematics, Novosibirsk, Russia

    Gennadii V. Demidenko, Vladimir L. Vaskevich

Bibliographic Information

  • Book Title: Selected Works of S.L. Sobolev

  • Book Subtitle: Volume I: Equations of Mathematical Physics, Computational Mathematics, and Cubature Formulas

  • Editors: Gennadii V. Demidenko, Vladimir L. Vaskevich

  • DOI: https://doi.org/10.1007/978-0-387-34149-1

  • Publisher: Springer New York, NY

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer-Verlag US 2006

  • Hardcover ISBN: 978-0-387-34148-4Published: 10 August 2006

  • Softcover ISBN: 978-1-4419-4163-3Published: 29 October 2010

  • eBook ISBN: 978-0-387-34149-1Published: 15 December 2006

  • Edition Number: 1

  • Number of Pages: XXVIII, 604

  • Number of Illustrations: 20 b/w illustrations

  • Topics: Partial Differential Equations, Numerical Analysis, Applications of Mathematics, Operator Theory

Publish with us

Policies and ethics

Back to top

Search

Navigation