Blog
About

41
views
0
recommends
+1 Recommend
0 collections
    0
    shares
      • Record: found
      • Abstract: found
      • Article: found
      Is Open Access

      An Inverse problem for the Magnetic Schr\"odinger Operator on a Half Space with partial data

      Preprint

      Read this article at

      Bookmark
          There is no author summary for this article yet. Authors can add summaries to their articles on ScienceOpen to make them more accessible to a non-specialist audience.

          Abstract

          In this paper we prove uniqueness for an inverse boundary value problem for the magnetic Schr\"odinger equation in a half space, with partial data. We prove that the curl of the magnetic potential \(A\), when \(A\in W_{comp}^{1,\infty}(\ov{\R^3_{-}},\R^3)\), and the electric pontetial \(q \in L_{comp}^{\infty}(\ov{\R^3_{-}},\C)\) are uniquely determined by the knowledge of the Dirichlet-to-Neumann map on parts of the boundary of the half space.

          Related collections

          Most cited references 15

          • Record: found
          • Abstract: not found
          • Article: not found

          Optical tomography in medical imaging

           S Arridge (1999)
            Bookmark
            • Record: found
            • Abstract: not found
            • Article: not found

            Determining a Magnetic Schrödinger Operator from Partial Cauchy Data

              Bookmark
              • Record: found
              • Abstract: not found
              • Article: not found

              Global identifiability for an inverse problem for the Schr�dinger equation in a magnetic field

                Bookmark

                Author and article information

                Journal
                2013-02-28
                Article
                1302.7265

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

                Custom metadata
                35R30
                This is the article version of a Licentiate thesis. arXiv admin note: text overlap with arXiv:1104.0789 by other authors
                math.AP math-ph math.MP

                Mathematical physics, Analysis, Mathematical & Computational physics

                Comments

                Comment on this article