Non-Regular Differential Equations and Calculations of Electromagnetic Fields
N E Tovmasyan
Gebundenes Buch

Non-Regular Differential Equations and Calculations of Electromagnetic Fields

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This book deals with the boundary value problems 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 elliptic equations are obtained. A new approach is proposed for the investigation of the harmonic oscillati...