@article {93552,
	title = {An inverse problem for the Schr{\"o}dinger equation with Neumann boundary condition},
	journal = {Advances in Pure and Applied Mathematics},
	volume = {14},
	number = {1},
	year = {2023},
	pages = {50-69},
	abstract = {
	Thisarticleconcernstheinverse problem of the recoveryof unknown potential coefficient for the Schr{\"o}dinger equation, in a bounded domain of Rn with non-homogeneous Neumann boundary condition from a time-dependent Dirich let boundary measurement. We prove uniqueness and Lipschitz stability for this inverse problem under certain convexity hypothesis on the geometry of the spatial domain and under weak regularity requirements on the data. The proof is based on aCarleman estimate in [12] for Schr{\"o}dinger equations and its resulting implication, a continuous observability inequality. Mathematics Subject Classification. 35R30, 35Q40, 49K20.

},
	url = {https://www.openscience.fr/IMG/pdf/iste_apam23v14n1_4.pdf},
	author = {Saci,  Atef and Rebiai, Salah-Eddine}
}
