Non-Regular Differential Equations and Calculations of Electromagnetic Fields (Hardcover) (ISBN-13: 9789810233365)

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 elliptic equations are obtained. A new approach is proposed for the investigation of the harmonic oscillations of electromagnetic fields in stratified and non-homogeneous media and for the calculation of capacitors bounded by analytic surfaces. The book can be used by professionals in a wide range of specialities, including mathematics, mechanics, physics and many realms of engineering.

Author: N. E. Tovmasyan
ISBN-10: 9810233361
ISBN-13: 9789810233365
Publisher: World Scientific Publishing Company
Language: English
Published: 08/12/1998
Pages: 248
Format: Hardcover