An inverse boundary problem for fourth-order Schrödinger equations with partial data

Year, pages: 2019, 125 - 138

In this paper, we show that in dimension $n\geq3$, the knowledge of the Cauchy data for the fourth-order Schrödinger equation measured on possibly very small subsets of the boundary determines uniquely the potential. The proof is based on the Carleman estimates and the construction of complex geometrical optics solutions.

Duan, Z., Han, S. 2019. An inverse boundary problem for fourth-order Schrödinger equations with partial data. In Mathematica Slovaca, vol. 69, no.1, pp. 125-138. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0208

Duan, Z., Han, S. (2019). An inverse boundary problem for fourth-order Schrödinger equations with partial data. Mathematica Slovaca, 69(1), 125-138. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0208