Complex Methods for Partial Differential Equations

Complex Methods for Partial Differential Equations edited by Heinrich Begehr, A. Okay Celebi, W. Tutschke.

This volume is a collection of manscripts mainly originating from talks and lectures given at the Workshop on Recent Trends in Complex Methods for Par­ tial Differential Equations held from July 6 to 10, 1998 at the Middle East Technical University in Ankara, Turkey, sponsored by The Scientific and...

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Bibliographic Details
Corporate Author: SpringerLink (Online service)
Other Authors: Begehr, Heinrich. (Editor, http://id.loc.gov/vocabulary/relators/edt), Celebi, A. Okay. (Editor, http://id.loc.gov/vocabulary/relators/edt), Tutschke, W. (Editor, http://id.loc.gov/vocabulary/relators/edt)
Format: eBook
Language:English
Published: New York, NY : Springer US : Imprint: Springer, 1999.
Edition:1st ed. 1999.
Series:International Society for Analysis, Applications and Computation, 6
Springer eBook Collection.
Subjects:
Partial differential equations.
Integral transforms.
Operational calculus.
Functions of complex variables.
Functions of real variables.
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Table of Contents:
  • 1 A reflection principle and its applications
  • 2 On some problems for first order elliptic systems in the plane
  • 3 Differential-operator solutions for complex partial differential equations
  • 4 On a generalized Riemann-Hilbert boundary value problem for second order elliptic systems in the plane
  • 5 Boundary value problems of the theory of generalized analytic functions
  • 6 On well-posedness of problems for nonclassical systems of equations
  • 7 An application of the periodic Riemann boundary value problem to a periodic crack problem
  • 8 Initial and boundary value problems for singular differential equations and applications to the theory of cusped bars and plates
  • 9 Multidimensional logarithmic residues and their applications
  • 10 The Neumann problem for the inhomogeneous pluriharmonic system in polydiscs
  • 11 Second order Cauchy-Pompeiu representations
  • 12 On a class of second order elliptic overdetermined systems
  • 13 Boundary spinors and values of holomorphic functions
  • 14 Two approaches to non-commutative geometry
  • 15 Some partial differential equations in Clifford analysis
  • 16 Generalized monogenic functions satisfying differential equations with anti-monogenic right-hand sides
  • 17 Complex analytic method for hyperbolic equations of second order
  • 18 Remarks on the solvability of Dirichlet problems in different function spaces
  • 19 Complex methods in the theory of initial value problems
  • 20 Optimal balls for solving fixed-point problems in Banach spaces
  • 21 Wavelet transform of operators and functional calculus.

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