Partial differential equations and complex analysis
著者
書誌事項
Partial differential equations and complex analysis
（Studies in advanced mathematics）
CRC Press, c1992
大学図書館所蔵 件 / 全48件
-
該当する所蔵館はありません
- すべての絞り込み条件を解除する
注記
"Based on notes by Estela A. Gavosto and Marco M. Peloso."
Includes bibliographical references (p. 287-293) and index
内容説明・目次
内容説明
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.
目次
The Dirichlet Problem in the Complex Plane Review of Fourier Analysis Pseudodifferential Operators Elliptic Operators Elliptic Boundary Value Problems A Degenerate Elliptic Boundary Value Problem The ?- Neumann Problem Applications of the ?- Neumann Problem The Local Solvability Issue and a Look Back.
「Nielsen BookData」 より
