Lipschitz stability of an inverse problem for the Kawahara equation with damping

• Published in: AIMS mathematics Vol. 5; no. 5; pp. 4529 - 4545
• Main Authors: Anbu, Arivazhagan, Kumarasamy, Sakthivel, Balan Natesan, Barani
• Format: Journal Article
• Language: English
• Published: AIMS Press 01.01.2020
• Subjects: carleman estimate; inverse problems; kawahara equation; stability
• ISSN: 2473-6988; 2473-6988
• DOI: 10.3934/math.2020291

The aim of this paper is to establish a stability result regarding the inverse problem of retrieving the damping coefficient in Kawahara equation. We first establish an internal Carleman estimate for the linearized problem with the help of Dirichlet-Neumann type boundary conditions. Using the obtain...