ABSTRACT
In this study, we consider a coefficient problem of a quasi-linear two-dimensional parabolic inverse problem with periodic boundary and integral over determination conditions. We prove the existence, uniqueness and continuously dependence upon the data of the solution by iteration method. Also, we consider numerical solution for this inverse problem by using linearization and the implicit finite-difference scheme.
Acknowledgements
The authors are grateful to the reviewers for many valuable suggestions and constructive comments that have greatly improved the presentation of this paper.
Disclosure statement
No potential conflict of interest was reported by the authors.