Blar i NTNU Open på forfatter "Høeg, Fredrik Arbo"
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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)