Determining a first order perturbation of the biharmonic operator by partial boundary measurements

作者：Krupchyk Katsiaryna; Lassas Matti; Uhlmann Gunther^*

来源：Journal of Functional Analysis, 2012, 262(4): 1781-1801.

DOI：10.1016/j.jfa.2011.11.021

• Inverse problem
• Biharmonic
• Partial data

We consider an operator Delta(2) + A(x) . D+q(x) with the Navier boundary conditions on a bounded domain in R-n, n %26gt;= 3. We show that a first order perturbation A(x) . D+q can be determined uniquely by measuring the Dirichlet-to-Neumann map on possibly very small subsets of the boundary of the domain. Notice that the corresponding result does not hold in general for a first order perturbation of the Laplacian.

• 出版日期2012-2-15