Applied Mathematical Sciences

The Boundary Value Problems of Mathematical Physics

Authors: Ladyzhenskaya, O.A.

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About this Textbook

In the present edition I have included "Supplements and Problems" located at the end of each chapter. This was done with the aim of illustrating the possibilities of the methods contained in the book, as well as with the desire to make good on what I have attempted to do over the course of many years for my students-to awaken their creativity, providing topics for independent work. The source of my own initial research was the famous two-volume book Methods of Mathematical Physics by D. Hilbert and R. Courant, and a series of original articles and surveys on partial differential equations and their applications to problems in theoretical mechanics and physics. The works of K. o. Friedrichs, which were in keeping with my own perception of the subject, had an especially strong influence on me. I was guided by the desire to prove, as simply as possible, that, like systems of n linear algebraic equations in n unknowns, the solvability of basic boundary value (and initial-boundary value) problems for partial differential equations is a consequence of the uniqueness theorems in a "sufficiently large" function space. This desire was successfully realized thanks to the introduction of various classes of general solutions and to an elaboration of the methods of proof for the corresponding uniqueness theorems. This was accomplished on the basis of comparatively simple integral inequalities for arbitrary functions and of a priori estimates of the solutions of the problems without enlisting any special representations of those solutions.

Table of contents (6 chapters)

Table of contents (6 chapters)

Buy this book

eBook $69.99
price for USA in USD (gross)
  • ISBN 978-1-4757-4317-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $119.99
price for USA in USD
  • ISBN 978-0-387-90989-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $89.99
price for USA in USD
  • ISBN 978-1-4419-2824-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
The Boundary Value Problems of Mathematical Physics
Authors
Translated by
Lohwater, J.
Series Title
Applied Mathematical Sciences
Series Volume
49
Copyright
1985
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4757-4317-3
DOI
10.1007/978-1-4757-4317-3
Hardcover ISBN
978-0-387-90989-9
Softcover ISBN
978-1-4419-2824-5
Series ISSN
0066-5452
Edition Number
1
Number of Pages
XXX, 322
Additional Information
Original Russian edition published by Nauka, Moscow 1973
Topics