A Collection of Problems on the Equations of Mathematical Physics

  • Editors
  • V. S. Vladimirov
Conference proceedings

Table of contents

  1. Front Matter
    Pages 1-11
  2. V. S. Vladimirov
    Pages 9-11
  3. V. S. Vladimirov
    Pages 41-87
  4. V. S. Vladimirov
    Pages 88-133
  5. V. S. Vladimirov
    Pages 134-179
  6. Back Matter
    Pages 277-288

About these proceedings

Introduction

The extensive application of modern mathematical teehniques to theoretical and mathematical physics requires a fresh approach to the course of equations of mathematical physics. This is especially true with regards to such a fundamental concept as the 80lution of a boundary value problem. The concept of a generalized solution considerably broadens the field of problems and enables solving from a unified position the most interesting problems that cannot be solved by applying elassical methods. To this end two new courses have been written at the Department of Higher Mathematics at the Moscow Physics anrl Technology Institute, namely, "Equations of Mathematical Physics" by V. S. Vladimirov and "Partial Differential Equations" by V. P. Mikhailov (both books have been translated into English by Mir Publishers, the first in 1984 and the second in 1978). The present collection of problems is based on these courses and amplifies them considerably. Besides the classical boundary value problems, we have ineluded a large number of boundary value problems that have only generalized solutions. Solution of these requires using the methods and results of various branches of modern analysis. For this reason we have ineluded problems in Lebesgue in­ tegration, problems involving function spaces (especially spaces of generalized differentiable functions) and generalized functions (with Fourier and Laplace transforms), and integral equations.

Keywords

boundary value problem differential equation mathematical physics partial differential equation solution

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-05558-8
  • Copyright Information Springer-Verlag Berlin Heidelberg 1986
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-662-05560-1
  • Online ISBN 978-3-662-05558-8
  • Buy this book on publisher's site