Constructive methods for linear and nonlinear boundary value problems for analytic functions2000

"How far can one go in the solutions of problems in nonlinear mechanics and physics using the ideas of analytic functions? What is the difference between linear and nonlinear cases from the qualitative point of view? What kinds of additional techniques should one use in investigating nonlinear problems? Constructive Methods for Linear and Nonlinear Boundary Value Problems serves to answer these questions, and presents many of its results to Westerners for the first time.

Among the most interesting of these is the complete solution of the Riemann-Hilbert problem for multiply connected domains." "This volume will prove interesting to a broad audience, including specialists in analytic function theory, applied mathematicians, and nonmathematicians who can apply these methods in their...