Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6418669 | Journal of Mathematical Analysis and Applications | 2013 | 16 Pages |
Abstract
In this paper we consider the inverse problem of retrieving the main coefficient of a Kuramoto-Sivashinsky type equation from partial knowledge of a given single solution. In particular, we focus on the stability issue of the inverse problem. By using a method due to Bukhgeim-Klibanov and suitable Carleman estimates, we obtain a local Lipschitz stability result on an admissible set of main coefficients. As a part of this study, we prove the existence of a unique solution to this equation.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Patricio Guzmán Meléndez,