Selected Works of S.L. Sobolev

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

  • Gennadii V. Demidenko
  • Vladimir L. Vaskevich

Table of contents

  1. Front Matter
    Pages i-xxviii
  2. Equations of Mathematical Physics

  3. Computational Mathematics and Cubature Formulas

    1. Front Matter
      Pages 397-397
    2. S. L. Sobolev
      Pages 399-403
    3. S. L. Sobolev
      Pages 411-414
    4. L. V. Kantorovich, L. A. Lyusternik, S. L. Sobolev
      Pages 443-444
    5. S. L. Sobolev
      Pages 451-456
    6. S. L. Sobolev
      Pages 491-511
    7. S. L. Sobolev
      Pages 523-528
    8. S. L. Sobolev
      Pages 567-571
    9. S. L. Sobolev
      Pages 573-579
    10. S. L. Sobolev
      Pages 587-590
  4. Back Matter
    Pages 601-603

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.


This book is intended for mathematicians, especially those interested in mechanics and physics, and graduate and postgraduate students in mathematics and physics departments.


Approximate solutions Functionally invariant solutions Oscillations of a rotating fluid Problems on elastic oscillations Theory of cubature formulas cubature functional analysis mathematical physics partial differential equation wave equation

Editors and affiliations

  • Gennadii V. Demidenko
    • 1
  • Vladimir L. Vaskevich
    • 1
  1. 1.Sobolev Institute of MathematicsNovosibirskRussia

Bibliographic information