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OverviewIn 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. Full Product DetailsAuthor: O.A. Ladyzhenskaya , J. LohwaterPublisher: Springer-Verlag New York Inc. Imprint: Springer-Verlag New York Inc. Edition: Softcover reprint of hardcover 1st ed. 1985 Volume: 49 Dimensions: Width: 15.50cm , Height: 1.80cm , Length: 23.50cm Weight: 1.100kg ISBN: 9781441928245ISBN 10: 1441928243 Pages: 322 Publication Date: 01 December 2010 Audience: Professional and scholarly , Professional and scholarly , Professional & Vocational , Postgraduate, Research & Scholarly Format: Paperback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsI 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.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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