• A control problem related to the parabolic dominative p-Laplace equation 

      Høeg, Fredrik Arbo; Ruosteenoja, Eero (Journal article; Peer reviewed, 2019)
      We show that value functions of a certain time-dependent control problem in Ω × (0, T), with a continuous payoff F on the parabolic boundary, converge uniformly to the viscosity solution of the parabolic dominative p-Laplace ...
    • Regularity of solutions of the parabolic normalized p-Laplace equation 

      Høeg, Fredrik Arbo; Lindqvist, Peter (Journal article; Peer reviewed, 2018)
      The parabolic normalized p-Laplace equation is studied. We prove that a viscosity solution has a time derivative in the sense of Sobolev belonging locally to L2.
    • Surfaces moving by Mean Curvature. 

      Høeg, Fredrik Arbo (Master thesis, 2016)
      We use a level-set method to describe surfaces moving by mean curvature. The interesting partial differential equation $u_t=|\nabla u| \text{div}\left(\frac{\nabla u}{|\nabla u|}\right)$ arises. In this thesis, we prove ...
    • Viscosity solutions of p-Laplace type equations 

      Høeg, Fredrik Arbo (Doctoral theses at NTNU;2020:263, Doctoral thesis, 2020)