Partial Differential Equations and Complex Analysis
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€80.99
A01=Steven G. Krantz
Asymptotic Expansion
Atiyah Singer Index Theorem
Author_Steven G. Krantz
Bergman Kernel
Bergman Projection
Biholomorphic Mappings
Category=PBK
Category=PBKJ
Cauchy Riemann Operator
Dirichlet Problem
Elliptic Partial Differential Operators
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Fourier Laplace Transform
Holomorphic Functions
Hopf's Lemma
Hopf’s Lemma
Linear Partial Differential Operators
Lipschitz Spaces
Local Solvability
Partial Differential Operators
Pseudoconvex Domain
Pseudodifferential Operators
Riesz Potential
Riesz Thorin Interpolation Theorem
Schwartz Distribution
Schwartz Function
Singular Integral Operators
Sobolev Imbedding Theorem
Summability Kernel
Variable Coefficient Case
Product details
- ISBN 9780367402754
- Weight: 453g
- Dimensions: 156 x 234mm
- Publication Date: 25 Sep 2019
- Publisher: Taylor & Francis Ltd
- Publication City/Country: GB
- Product Form: Paperback
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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.
Krantz, Steven G.
