Courant lecture notes in mathematics
Andrew Majda · Eduard Zehnder · Fanghua Lin · Jalal M. Ihsan Shatah · Jürgen Moser · Michael Struwe · Nassif Ghoussoub · Oliver Bühler · Percy Deift · Pierpaolo Esposito · Qing Han · S. R. S. Varadhan · Stephen Childress · Thierry Cazenave · Yujin Guo
Latest release: October 9, 2009
Mathematical & Computational · Quantum Theory · Mechanical
Series
9
Books
About this ebook series
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.