• A Nonlinear Partial Differential Equation and Its Viscosity Solutions 

      Reigstad, Audun (Master thesis, 2016)
      We study a nonlinear partial differential equation with Lipschitz continuous coefficient functions. Existence and uniqueness of viscosity solutions is proved by approximating with minimizers of variational integrals. The ...
    • Competition models for plant stems 

      Bressan, Alberto; Galtung, Sondre Tesdal; Reigstad, Audun; Ridder, Johanna (Peer reviewed; Journal article, 2020)
      The models introduced in this paper describe a uniform distribution of plant stems competing for sunlight. The shape of each stem, and the density of leaves, are designed in order to maximize the captured sunlight, subject ...
    • A Regularized System for the Nonlinear Variational Wave Equation 

      Reigstad, Audun (Doctoral theses at NTNU;2021:21, Doctoral thesis, 2021)