Non-regular Differential Equations And Calculations Of Electromagnetic Fields
Seiten
1998
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-02-3336-5 (ISBN)
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-02-3336-5 (ISBN)
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This work 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.
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.
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.
Dirichlet type correct boundary value problems for non-regular differential equations with constant coefficients in the half-plane; Riemann-Hilbert problem for one class of non-regularly elliptic equations in the half-plane; Dirichlet type problem in the half-plane 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; efficient methods of solving boundary value problems for improperly elliptic equations; fundamental systems of solutions for some classes of improperly elliptic equations.
| Verlagsort | Singapore |
|---|---|
| Sprache | englisch |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| Mathematik / Informatik ► Mathematik ► Angewandte Mathematik | |
| Naturwissenschaften ► Physik / Astronomie ► Elektrodynamik | |
| ISBN-10 | 981-02-3336-1 / 9810233361 |
| ISBN-13 | 978-981-02-3336-5 / 9789810233365 |
| Zustand | Neuware |
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