# IJPAM: Volume 50, No. 2 (2009)

**ON A CLASS OF LINEAR MATERIAL LAWS IN**

CLASSICAL MATHEMATICAL PHYSICS

CLASSICAL MATHEMATICAL PHYSICS

Rainer Picard

Institut für Analysis

Fachrichtung Mathematik

Fakultät Mathematik und Naturwissenschaften

Technische Universität Dresden

Dresden, 01062, GERMANY

e-mail: [email protected]

Institut für Analysis

Fachrichtung Mathematik

Fakultät Mathematik und Naturwissenschaften

Technische Universität Dresden

Dresden, 01062, GERMANY

e-mail: [email protected]

**Abstract.**A class of linear material laws is considered, which covers a number of diverse initial boundary value problems of classical mathematical physics. The claim that this class is indeed to a large extent sufficiently general can be exemplified for a number of specific models from classical physics. We illustrate the concept for some well-known linear material laws in electrodynamics.

**Received: **August 14, 2008

**AMS Subject Classification: **37L05, 35F10, 58D25

**Key Words and Phrases: **material laws, electrodynamics, evolution equations, classical mathematical physics

**Source:** International Journal of Pure and Applied Mathematics

**ISSN:** 1311-8080

**Year:** 2009

**Volume:** 50

**Issue:** 2