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About this book
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.
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Table of contents (6 chapters)
Authors and Affiliations
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Bibliographic Information
Book Title: The Boundary Value Problems of Mathematical Physics
Authors: O. A. Ladyzhenskaya
Series Title: Applied Mathematical Sciences
DOI: https://doi.org/10.1007/978-1-4757-4317-3
Publisher: Springer New York, NY
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eBook Packages: Springer Book Archive
Copyright Information: Springer Science+Business Media New York 1985
Hardcover ISBN: 978-0-387-90989-9Published: 19 June 1985
Softcover ISBN: 978-1-4419-2824-5Published: 01 December 2010
eBook ISBN: 978-1-4757-4317-3Published: 14 March 2013
Series ISSN: 0066-5452
Series E-ISSN: 2196-968X
Edition Number: 1
Number of Pages: XXX, 322
Additional Information: Original Russian edition published by Nauka, Moscow 1973