Partial differential equations and complex analysis / Steven G. Krantz.
- 作者： Krantz, Steven G. 1951- Steven George
- 其他作者：
- 其他題名：
- Studies in advanced mathematics
- 出版： Boca Raton, FL : CRC Press c1992.
- 叢書名： Studies in advanced mathematics
- 主題： Differential equations, Partial. , Functions of complex variables. , Mathematical analysis.
- ISBN： 0849371554 (hbk.) :: US$135.10
- 一般註："Based on notes by Estela A. Gavosto and Marco M. Peloso."
- 書目註：Includes bibliographical references (p. 287-293) and index.
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讀者標籤：
- 系統號： 005102955 | 機讀編目格式
館藏資訊
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.