Local uniqueness for the Dirichlet-to-Neumann map via the two-plane transform
Greenleaf, Allan ; Uhlmann, Gunther
arXiv, 0001099 / Harvested from arXiv
Text on arXiv
We consider the Dirichlet-to-Neumann map associated to the Schr\"odinger equation with a potential in a bounded Lipschitz domain in three or more dimensions. We show that the integral of the potential over a two-plane is determined by the Cauchy data of certain exponentially growing solutions on any neighborhood of the intersection of the two-plane with the boundary.
Publié le : 2000-01-18
Classification:  Mathematics - Analysis of PDEs,  Mathematical Physics,  35R30,  44A12 
@article{0001099,
     author = {Greenleaf, Allan and Uhlmann, Gunther},
     title = {Local uniqueness for the Dirichlet-to-Neumann map via the two-plane
  transform},
     journal = {arXiv},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0001099}
}

Greenleaf, Allan; Uhlmann, Gunther. Local uniqueness for the Dirichlet-to-Neumann map via the two-plane
  transform. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0001099/