Recovering nonsmooth coefficients for higher-order perturbations of a polyharmonic operator
Abstract
Abstract We consider an inverse problem for a higher order elliptic operator where the principal part is the polyharmonic operator ( − Δ ) m with m ⩾ 2 . We show that the map from the coefficients to a certain bilinear form is injective. We have a particular focus on obtaining these results under lower regularity on the coefficients. It is known that knowledge of this bilinear form is equivalent to a knowledge of a Dirichlet to Neumann map or the Cauchy data for solutions.
Fields of Study & Subjects
Differential Equations and Boundary Problems
Elasticity and Wave Propagation
Material Science and Thermodynamics
Publication details
- Journal / source
- Inverse Problems
- Publisher
- IOP Publishing
- Volume
- 42
- Issue
- 7
- Pages
- 075011–075011
- Publication date
- 27 May 2026
- Language
- EN