Complex Methods for Partial Differential Equations

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.