# Uniqueness of the Solution of an lnverse Problem for a Quasilinear Parabolic Equation in Divergence Form

### Siegfried Dümmel

Technische Universität Chemnitz, Germany### Sybille Handrock-Meyer

Technische Universität Chemnitz, Germany

## Abstract

The quasilinear parabolic differential equation $u_t = \mathrm {div} (a (u) \mathrm {grad} u)$ with a constant initial condition and a boundary condition of the first kind is considered where $a$ is a positive analytic function of $u$. Under some additional assumptions on u a uniqueness theorem for the determination of the coefficient a is proved.

## Cite this article

Siegfried Dümmel, Sybille Handrock-Meyer, Uniqueness of the Solution of an lnverse Problem for a Quasilinear Parabolic Equation in Divergence Form. Z. Anal. Anwend. 7 (1988), no. 3, pp. 241–246

DOI 10.4171/ZAA/302