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Graduate Studies in Mathematics
2011; 293 pp; hardcover
List Price: US$63
Member Price: US$50.40
Order Code: GSM/120
Partial Differential Equations: Second Edition - Lawrence C Evans
A First Course in Sobolev Spaces - Giovanni Leoni
Elliptic Partial Differential Equations: Second Edition - Qing Han and Fanghua Lin
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.
Advanced undergraduate and graduate students interested in PDEs.
"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
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