عنوان
پدید آورنده
موضوع
رده
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
9781441928245
(Number (ISBN
9781475743173
NATIONAL BIBLIOGRAPHY NUMBER
Number
dltt
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
The Boundary Value Problems of Mathematical Physics
General Material Designation
[Book]
First Statement of Responsibility
by O. A. Ladyzhenskaya.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
New York, NY :
Name of Publisher, Distributor, etc.
Imprint: Springer,
Date of Publication, Distribution, etc.
1985.
SERIES
Series Title
Applied Mathematical Sciences,
Volume Designation
49
ISSN of Series
0066-5452 ;
CONTENTS NOTE
Text of Note
I Preliminary Considerations -- II Equations of Elliptic Type -- III Equations of Parabolic Type -- IV Equations of Hyperbolic Type -- V Some Generalizations -- VI The Method of Finite Differences.
0
SUMMARY OR ABSTRACT
Text of Note
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.
OTHER EDITION IN ANOTHER MEDIUM
International Standard Book Number
9781441928245
PIECE
Title
Springer eBooks
TOPICAL NAME USED AS SUBJECT
Physics.
PERSONAL NAME - PRIMARY RESPONSIBILITY
Ladyzhenskaya, O. A.
CORPORATE BODY NAME - ALTERNATIVE RESPONSIBILITY
SpringerLink (Online service)
ORIGINATING SOURCE
Date of Transaction
20190301075100.0
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب [Book]
Y
