A basic course in partial differential equations

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.

Year

2011

Language

English

Series

Graduate studies in mathematics -- v. 120

Publisher

American Mathematical Society

Editions

1

Pages

293

ISBN

9780821852552

Data source: Wikidata