Well-posedness in Maxwell systems with distributions of polarization relaxation parameters

被引：21

作者：

Banks, HT ^{[1
]}

Gibson, NL ^{[1
]}

机构：

[1] N Carolina State Univ, Dept Math, Ctr Res Sci Computat, Raleigh, NC 27695 USA

来源：

APPLIED MATHEMATICS LETTERS | 2005年 / 18卷 / 04期

基金：

美国国家航空航天局;

关键词：

well-posedness; Maxwell's equations with polarization; relaxation parameters;

D O I：

10.1016/j.aml.2004.02.008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present existence, uniqueness and continuous dependence (with respect to probability distributions on polarization parameters) of solutions in Maxwell systems. This provides a theoretical and computational foundation for associated inverse problems. (c) 2004 Elsevier Ltd. All rights reserved.

引用

页码：423 / 430

页数：8

共 8 条

[1]

[Anonymous], 2000, ELECTROMAGNETIC MAT

[2]

Banks HT, 2003, FRONT APP M, V28, P129

[3] Modelling and estimating uncertainty in parameter estimation [J].

Banks, HT ;

Bihari, KL .

INVERSE PROBLEMS, 2001, 17 (01) :95-111

[4]

BILLINGSLEY P., 1999, Convergence of Probability Measures, V2nd, DOI 10.1002/9780470316962

[5]

Davidian M., 1998, Nonlinear Models for Repeated Measurement Data

[6]

ELLIOTT RS, 1993, ELECTROMAGNETICS HIS

[7]

Lions J.-L., 1971, OPTIMAL CONTROL SYST

[8]

Wloka J, 1992, PARTIAL DIFFERENTIAL

← 1 →