| | Preface | | |
1 | | Function theoretical tools | | 1 |
1.1 | | Cauchy integral | | 1 |
1.2 | | Green functions and Schwarz operators | | 18 |
1.3 | | Riemann boundary value problem | | 38 |
1.4 | | Riemann-Hilbert boundary value problem | | 45 |
2 | | Inhomogeneous Cauchy-Riemann systems | | 69 |
2.1 | | Integral representations | | 69 |
2.2 | | Properties of integral operators | | 74 |
3 | | Boundary value problems for generalized Beltrami equations | | 99 |
3.1 | | Generalized Beltrami equation | | 99 |
3.2 | | Riemann boundary value problem | | 114 |
3.3 | | Riemann-Hilbert boundary value problem | | 118 |
3.4 | | Poincare boundary value problem | | 144 |
3.5 | | Discontinuous boundary value problems | | 149 |
4 | | Other equations and systems related to the Beltrami equation | | 175 |
4.1 | | Initial boundary value problem for pseudoparabolic equations | | 175 |
4.2 | | Initial boundary value problem for a composite type system | | 184 |
4.3 | | Entire solution to nonlinear generalized Beltrami equations | | 194 |
5 | | Higher order complex differential equations and equations in several complex variables | | 203 |
5.1 | | Elliptic second order equations | | 203 |
5.2 | | Higher order equations | | 233 |
5.3 | | First order systems in two complex variables with analytic coefficients | | 239 |
5.4 | | The Schwarz-Poisson formula for polydiscs | | 252 |
| | References | | 257 |
| | More... | | |