Items related to Partial Differential Equations and Complex Analysis
Synopsis
Ever since the groundbreaking work of J.J. Kohn in the early 1960s, there has been a significant interaction between the theory of partial differential equations and the function theory of several complex variables. Partial Differential Equations and Complex Analysis explores the background and plumbs the depths of this symbiosis.
The book is an excellent introduction to a variety of topics and presents many of the basic elements of linear partial differential equations in the context of how they are applied to the study of complex analysis. The author treats the Dirichlet and Neumann problems for elliptic equations and the related Schauder regularity theory, and examines how those results apply to the boundary regularity of biholomorphic mappings. He studies the ?-Neumann problem, then considers applications to the complex function theory of several variables and to the Bergman projection.
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About the Author
Krantz, Steven G.
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- PublisherCRC Press
- Publication date2019
- ISBN 10 0367402750
- ISBN 13 9780367402754
- BindingPaperback
- LanguageEnglish
- Edition number1
- Number of pages320
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Partial Differential Equations and Complex Analysis
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