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

In: Mathematica Slovaca, vol. 69, no. 1
Zhi-Wen Duan - Shuxia Han
Detaily:
Rok, strany: 2019, 125 - 138
Kľúčové slová:
fourth-order Schrödinger equations, Carleman estimates, complex geometrical optics solutions
O článku:
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.
Ako citovať:
ISO 690:
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

APA:
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
O vydaní:
Publikované: 24. 1. 2019