| Document Type
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BL
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| Record Number
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637250
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| Doc. No
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dltt
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| Main Entry
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Han, Qing
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| Title & Author
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A basic course in partial differential equations /\ Qing Han
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| Publication Statement
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Providence, R.I. :: American Mathematical Society,, c2011
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| Series Statement
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Graduate studies in mathematics ;; v. 120
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| Page. NO
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x, 293 p. :: ill. ;; 27 cm
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| ISBN
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9780821852552 (alk. paper)
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: 0821852558 (alk. paper)
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| Bibliographies/Indexes
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Includes bibliographical references (p. 289-290) and index
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| Contents
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Introduction -- First-order differential equations -- An overview of second-order PDEs -- Laplace equations -- Heat equations -- Wave equations -- First-order differential systems -- Epilogue
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| Abstract
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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
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| Subject
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Differential equations, Partial
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| LC Classification
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QA377.H31819 2011
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