Partial Differential Equations and Complex Analysis

Steven G. Krantz, Estela A. Gavosto, Marco M. Peloso

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English

CRC Press Inc
02 July 1992

Complex analysis, complex variables; Differential calculus & equations; Maths for scientists; Maths for engineers

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.

By: Steven G. Krantz, Estela A. Gavosto, Marco M. Peloso
Imprint: CRC Press Inc
Country of Publication: United States
Volume: 6
Dimensions: Height: 234mm, Width: 156mm, Spine: 20mm
Weight: 750g
ISBN: 9780849371554
ISBN 10: 0849371554
Pages: 320
Publication Date: 02 July 1992
Audience: College/higher education , Professional and scholarly , Further / Higher Education , Undergraduate
Format: Hardback
Publisher's Status: Active

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.

Krantz, Steven G.

Reviews for Partial Differential Equations and Complex Analysis

"""This well-written book is a valuable contribution to the broad field of interactions between complex analysis and partial differential equations...Moreover, the book can be used for individual studies, because fundamental concepts and important theorems are explained in detail."" -Mathematical Reviews, Issue 94a"