An inverse problem on determining upto first order perturbations of a fourth order operator with partial boundary data. (24th September 2015)

• Record Type: Journal Article
• Authors: Ghosh, Tuhin
• Is Part Of: Inverse problems. Volume 31:Number 10(2015:Oct.)
• Publication Date: 2015-09-24
• Subjects: fourth order elliptic operator -- Calderón's problem -- Carleman estimates; Inverse problems (Differential equations) -- Periodicals; 515.357
• DOI: 10.1088/0266-5611/31/10/105009
• Languages: English
• ISSNs: 0266-5611

Abstract

Abstract: Here we consider the following perturbed fourth order elliptic differential operator with the Dirichlet boundary condition in a bounded domain ( ) with smooth boundary. We find that can be determined uniquely by measuring the Dirichlet-to-Neumann map on partial boundary of the domain, where the partial boundary is governed by linear-weight function.