Han (mathematics, U. of Notre Dame) begins his introductory graduate textbook by addressing such questions as whether it really is necessary to classify partial differential equations and to employ different methods to discuss the different types, and why it is important to derive a priori estimates of solutions even before proving the existence of solutions. Students usually figure out the answers by the end of the course, he says, but this way is easier on them. He covers first-order differential equations, second-order partial differential equations, Laplace equations, heat equations, wave equations, and first-order differential systems. Annotation ©2011 Book News, Inc., Portland, OR (booknews.com)
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Condizione: New. Series: Graduate Studies in Mathematics. Num Pages: 293 pages. BIC Classification: PBKJ. Category: (G) General (US: Trade). Dimension: 254 x 178. . . 2011. Hardcover. . . . . Codice articolo V9780821852552
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Gebunden. Condizione: New. 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 eq. Codice articolo 595068166
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Condizione: New. Series: Graduate Studies in Mathematics. Num Pages: 293 pages. BIC Classification: PBKJ. Category: (G) General (US: Trade). Dimension: 254 x 178. . . 2011. Hardcover. . . . . Books ship from the US and Ireland. Codice articolo V9780821852552
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Hardback. Condizione: New. 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. Codice articolo LU-9780821852552
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