Browsing INVESTIGACIÓN by Author "Jaming, Philippe"

Now showing items 1-3 of 3

    • Thumbnail

      An Uncertainty Principle for Solutions of the Schrödinger Equation on H-Type Groups 

      Fernández Bertolin, Aingeru ORCID; Jaming, Philippe; Pérez-Esteva, Salvador (Cambridge University Press, 2020-04-02)
      In this paper we consider uncertainty principles for solutions of certain partial differential equations on H -type groups. We first prove that, on H -type groups, the heat kernel is an average of Gaussians in the central ...
    • Thumbnail

      From Heisenberg uniqueness pairs to properties of the Helmholtz and Laplace equations 

      Fernández Bertolin, Aingeru ORCID; Gröchenig, Karlheinz; Jaming, Philippe (Elsevier, 2018-09-07)
      The aim of this paper is to establish uniqueness properties of solutions of the Helmholtz and Laplace equations. In particular, we show that if two solutions of such equations on a domain of Rd agree on two intersecting d ...
    • Thumbnail

      Uniqueness for solutions of the Schrödinger equation on trees 

      Fernández Bertolin, Aingeru ORCID; Jaming, Philippe (Fondazione Annali di Matematica Pura ed Applicata and Springer Nature, 2019-08-30)
      We prove that if a solution of the time-dependent Schrödinger equation on an homogeneous tree with bounded potential decays fast at two distinct times then the solution is trivial. For the free Schrödinger operator, we use ...