electromagnetics.abdphysics.org

Non-Regular Differential Equations and Calculations of Electromagnetic Fields

  • Dirichlet Type Problems for Non-Regular Differential Equations in the Half-Plane
  • Riemann-Hilbert Problem for a Class of Non-Regular Elliptic Equations
  • Dirichlet Type Problem for the Product of First Order Differential Operators
  • Propagation of Plane Periodic Electromagnetic Waves in Stratified Medium
  • Calculation of Capacitances of Cylindrical and Spherical Capacitors
    • Introduction
    • Invariance of Capacitances under Conformal Mappings
    • Formulae of Capacitances with Cross-Sections Bounded by Analytic Curves
    • Some Tests of Equality for Capacitances
    • A Method of Definition of Capacitance for Spherical Capacitors
    • Approximative Formulae for Capacitance
    • Optimal Choice of Cylindrical Capacitor’s Shape
  • Efficient Methods of Solution of Boundary Value Problems for Improperly Elliptic Equations
    • Introduction
    • Some Auxiliary Propositions
    • Riemann-Hilbert Type Problem for a Class of Improperly Elliptic Equations
    • Dirichlet Type Problem for Improperly Elliptic Equations
    • Riemann-Hilbert Problem for Second-Order Improperly Elliptic Equations in Simple Connected Domains
    • Dirichlet Type Problem for Third-Order Improperly Elliptic Equations
    • Riemann-Hilbert Problem for Second-Order Improperly Elliptic Equations in the Circle
    • Riemann-Hilbert Problem for High Order Improperly Elliptic Equations
    • Dirichlet Type Problem for High Order Improperly Elliptic Equations v.
    • Neumann Type Problem for Improperly Elliptic Equations
    • Poincare Problem for Bitzadze Equation
  • Some Classes of Improperly Elliptic Equations