✦ LIBER ✦

Potential theoretic methods for the hyperbolic Maxwell system in rough cylinders

✍ Scribed by Dorina Mitrea

Publisher: John Wiley and Sons
Year: 2004
Tongue: English
Weight: 131 KB
Volume: 27
Category: Article
ISSN: 0170-4214
DOI: 10.1002/mma.540

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

This paper is concerned with the solvability of the hyperbolic Maxwell system in Lipschitz cylinders via integral methods. By means of the Laplace transform, the original hyperbolic Maxwell system is reduced to a family of stationary Maxwell equations indexed by ω, the Laplace variable. The crux of the matter is establishing how all relevant constants in the main estimates for this family of Maxwell equations depend on ω. Among other things, appropriate norms and weighted Sobolev spaces are considered so that the integral equation method works. The solution is expressed in terms of retarded potentials. Copyright © 2004 John Wiley & Sons, Ltd.

📜 SIMILAR VOLUMES

Spectral theory and iterative methods fo

Spectral theory and iterative methods for the Maxwell system in nonsmooth domains

✍ Irina Mitrea; Katharine Ott 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 250 KB

## Abstract We study spectral properties of boundary integral operators which naturally arise in the study of the Maxwell system of equations in a Lipschitz domain Ω ⊆ ℝ^3^. By employing Rellich‐type identities we show that the spectrum of the magnetic dipole boundary integral operator (composed wi

A Quasi-Newton Method for Estimating the

A Quasi-Newton Method for Estimating the Parameter in a Nonlinear Hyperbolic System

✍ Wenhuan Yu 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 179 KB

A quasi-Newton method QNM in infinite-dimensional spaces for estimating parameters involved in distributed parameter systems is presented in this paper. Next, the global convergence of a sequence generated by the algorithm QNM is also proved. We apply the algorithm QNM to an identification problem o

Efficient Characteristic Projection in U

Efficient Characteristic Projection in Upwind Difference Schemes for Hyperbolic Systems: The Complementary Projection Method

✍ Ronald P. Fedkiw; Barry Merriman; Stanley Osher 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 208 KB

The standard construction of upwind difference schemes for hyperbolic systems of conservation laws requires the full eigensystem of the Jacobian matrix. This system is used to define the transformation into and out of the characteristic scalar fields, where upwind differencing is meaningful. When th