Non-regular Differential Equations And Calculations Of Electromagnetic Fields

This book deals with the boundary value problems for non-regular partial differential equations in the half-plane. Efficient methods are developed for resolution of boundary value problems for improperly elliptic equations — based on the theory of analytic functions and functional analysis — having great theoretical and practical importance. In canonical domains (circle, ellipse, half-plane, etc.) explicit formulas for solutions to Riemann-Hilbert and Dirichlet type problems for improperly ellip