Elliptic Partial Differential Equations
2011年1月 · Courant lecture notes in mathematics 第 1 冊 · American Mathematical Soc.
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This volume is based on PDE courses given by the authors at the Courant Institute and at the University of Notre Dame, Indiana. Presented are basic methods for obtaining various a priori estimates for second-order equations of elliptic type with particular emphasis on maximal principles, Harnack inequalities, and their applications. The equations considered in the book are linear; however, the presented methods also apply to nonlinear problems. This second edition has been thoroughly revised and in a new chapter the authors discuss several methods for proving the existence of solutions of primarily the Dirichlet problem for various types of elliptic equations.
關於作者
Qing Han, University of Notre Dame, IN.|Fanghua Lin, Courant Institute, New York University, N
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