Uniqueness Theorems for the Determination of a Coefficient in a Quasilinear Parabolic Equation

Abstract

Two uniqueness theorems for the determination of the coefficient $q(u)$ in the quasilinear parabolic equation $u_t=q(u)\Delta u$ are proved for the case that $q$ is analytic and for the special case that $q$ depends linearly on $u$.