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A Basic Course in Partial Differential Equations

Qing Han (author)

ISBN: 9780821852552

Publication Date: Apr 2011

Format: Hardback

Focuses on linear equations of first and second order. An important feature of his treatment is that the majority of the techniques are applicable more generally. In particular, the author emphasizes a priori estimates throughout the text, even for those equations that can be solved explicitly.
£66.50

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This is a textbook for an introductory graduate course on partial differential equations. Han focuses on linear equations of first and second order. An important feature of his treatment is that the majority of the techniques are applicable more generally. In particular, Han emphasizes a priori estimates throughout the text, even for those equations that can be solved explicitly. Such estimates are indispensable tools for proving the existence and uniqueness of solutions to PDEs, being especially important for nonlinear equations. The estimates are also crucial to establishing properties of the solutions, such as the continuous dependence on parameters. Han's book is suitable for students interested in the mathematical theory of partial differential equations, either as an overview of the subject or as an introduction leading to further study.

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The book is very well-written, the proofs are given in full detail, and each chapter ends with a list of exercises. Note that the author puts emphasis on the main ideas and methods rather than on various generalizations." – Mathematical Reviews
Pages 293
Date Published 30 Apr 2011
Publisher American Mathematical Society
Series Graduate Studies in Mathematics
Series Part 120
Subject/s Differential calculus & equations  

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