Abstract
The boundary value problems for elliptic systems of the second order with leading and constant coefficients are considered in a half-plane. The investigation is based on the Bitsadze formula which represents a general solution of this system through a vector-valued analytic function. The transformation of this formula is studied in Holder spaces with weight. As a consequence, the explicit formulas of the solution to the problems are received. The applications to anisotropic elasticity are also given.
Acknowledgements
The work was supported in part by the Russian Foundation of Basic Reasearch RFBR (project No. 02-01-00623) and by the program of Russian Universities (project No. UR 04.01.486).
Notes
Dedicated to Professor Dr. Heinrich G.W. Begehr on his 65th birthday.