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Partial Differential Equations and Complex Analysis by Steven G. Krantz

Partial Differential Equations and Complex Analysis

by Steven G. Krantz
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Book cover type: Paperback
  • ISBN13: 9780367402754
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Taylor & Francis
  • Publisher Imprint: CRC Press
  • Publication Date:
  • Pages: 320
  • Original Price: GBP 67.99
  • Language: English
  • Edition: N/A
  • Item Weight: 453 grams
  • BISAC Subject(s): Differential Equations / General, Algebra / General, and Applied

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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