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BOUNDARY VALUE PROBLEMS FOR PARTIAL DIFFERENTIAL EQUATIONS AND APPLICATIONS IN ELECTRODYNAMICS

by N E Tovmasyan (State Engrg Univ. Armenia)

The book is devoted to boundary value problems for general partial differential equations. Efficient methods of resolution of boundary value problems for elliptic equations, based on the theory of analytic functions and having great theoretical and practical importance are developed.

A new approach to the investigation of electromagnetic fields is sketched, permitting laws of propagation of electromagnetic energy at a great distance, is outlined and asymptotic formulae for solutions of Maxwell's equation is obtained. These equations are also applied to the efficient resolution of problems.

The book is based mostly on the investigation of the author, a considerable part of which being published for the first time.


Contents:

  • Boundary Value Problem for General Systems of Differential Equations in the Half-Space
  • The System of Singular Integral Equations in the Class of Analytic Functions
  • Asymptotic Formulas for Solution of Maxwell's Equations and the Laws of Propagation of Electromagnetic Energy at Great Distances
  • Determination of Electric Potentials and Capacitances of Two Insulated Cylindrical Conductors
  • Efficient Methods for Solving Boundary Value Problem for Elliptic Equations


Readership: Mathematicians, physicists and engineers.

244pp Pub. date: Feb 1994
ISBN 981-02-1351-4 US$79 / £55


Copyright © 2008 World Scientific Publishing Co. All rights reserved.
Updated on 10 October 2008