Special vekua equations with singular coefficients

Abstract

Special equations of Vekua-type with singular coefficients are considered. As a first step we study the influence of the coefficients of model equations on the choice of the function spaces for its solutions and on the boundary conditions. As an application we sketch the consideration of boundary value problems for Vekua equations with variable coefficients having a strong singularity at z =0

Keywords:

• Vekua equation
• singular coefficients
• singular integral operators
• boundary value problems
• similarity principle.

AMS:

• 30G20
• 35J70

¹The second author was zupported by INTAS.

¹The second author was zupported by INTAS.

Notes

¹The second author was zupported by INTAS.