Partial Differential Equations and Complex Analysis
eBook - ePub

Partial Differential Equations and Complex Analysis

Steven G. Krantz

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  1. 320 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Partial Differential Equations and Complex Analysis

Steven G. Krantz

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About This Book

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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Information

Publisher
CRC Press
Year
2018
ISBN
9781351425803
Edition
1
Topic
Mathematics
Subtopic
Mathematics General
Index
Mathematics

Table of contents