Complex Methods For Partial Differential Equations Book

Preface. 1. A reflection principle and its applications; J. Witte. 2. On some problems for first order elliptic systems in the plane; D.Q. Dai. 3. Differential-operator solutions for complex partial differential equations; O. Celebi, S. Sengül. 4. On a generalized Riemann-Hilbert Boundary value problem for second order elliptic systems in the plane; M. Akal. 5. Boundary value problems of the theory of generalized analytic functions; G. Manjavidze, G. Akhalaia. 6. On well-posedness of problems for nonclassical systems of equations; D.Kh. Safarov. 7. An application of the periodic Riemann boundary value problem to a periodic crack problem; X. Li. 8. Initial and boundary value problems for singular differential equations and applications to the theory of cusped bars and plates; G. Jaiani. 9. Multidimensional logarithmic residues and their applications; L.A. Aizenberg. 10. The Neumann problem for the inhomogeneous pluriharmonic system in polydiscs; A. Mohammed. 11. Second order Cauchy-Pompeiu representations; H. Begehr. 12. On a class of second order elliptic overdetermined systems; A. Dzhuraev. 13. Boundary spinors and values of holomorphic functions; J. Cnops. 14. Two approaches to non-commutative geometry; V.V. Kisil. 15. Some partial differential equations in Clifford analysis; E. Obolashvili. 16. Generalized monogenic functions satisfying differential equations with anti-monogenic right-hand sides; W. Tutschke, U. Yüksel. 17. Complex analytic method for hyperbolic equations of second order; G.-C. Wen. 18. Remarks on the solvability of Dirichlet problems in different function spaces; F. Rihawi. 19. Complex methods in the theory of initial value problems; W. Tutschke. 20. Optimal balls for solving fixed-point problems in Banach spaces; T. Tutschke. 21. Wavelet transform of operators and functional calculus; V.V. Kisil.