Inverse Coefficient Problems for Nonlinear Parabolic Differential Equations

Ou Y. H., Hasanov A., Liu Z. H.

ACTA MATHEMATICA SINICA-ENGLISH SERIES, vol.24, no.10, pp.1617-1624, 2008 (SCI-Expanded) identifier identifier


This paper is devoted to a class of inverse problems for a nonlinear parabolic differential equation. The unknown coefficient of the equation depends on the gradient of the solution and belongs to a set of admissible coefficients. It is proved that the convergence of solutions for the corresponding direct problems continuously depends on the coefficient convergence. Based on this result the existence of a quasisolution of the inverse problem is obtained in the appropriate class of admissible coefficients.