Non-regular differential equations and calculations of electromagnetic fields

Non-regular differential equations and calculations of electromagnetic fields

by Tovmasyan, N. E.

Type Book
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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 el…

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Title Statements

  • Full title :Non-regular differential equations and calculations of electromagnetic fields / N.E. Tovmasyan ; edited by L.Z. Gevorkyan, M.S. Ginovyan, M.N. Bobrova.

Summary

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.

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Edition Statements

  • Publication Date:1998.

Publication Statements

  • Publisher(s):World Scientific
  • Place of Publication:Singapore
  • Language:eng
  • Publication Date:1998.

The Physical Object

  • Description:1 online resource (ix, 235 pages)

Edition Identifiers

  • ISBN:9789812816627, 9812816623
  • oclc:ocn824698661
  • LC Classification:QC631
  • Dewey Decimal:537.6/01/515353

Subjects

Boundary value problems -- Numerical so… Differential Equations, Partial Differential equations, Partial -- Nume… Électrodunamique -- Mathématiques Electrodynamics -- Mathematics Électrodynamique -- Mathématiques Elektromagnetisches Feld Équations aux dérivées partielles Équations aux dérivées partielles -- So… Partielle Differentialgleichung Problèmes aux limites -- Solutions numé… Randwertproblem SCIENCE -- Physics

Writers

Tovmasyan, N. E. Bobrova, M. N. Gevorkyan, L. Z. Ginovyan, M. S.

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