• 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 ...
    • Mean field limit for one dimensional opinion dynamics with Coulomb interaction and time dependent weights 

      Ben-Porat, Immanuel; Carrillo, José A.; Galtung, Sondre Tesdal (Journal article; Peer reviewed, 2024)
      The mean field limit with time dependent weights for a 1D singular case, given by the attractive Coulomb interactions, is considered. This extends recent results (Ayi and Duteil, 2021; Duteil, 2022) for the case of regular ...
    • On the coupling of well posed differential models 

      Colombo, Rinaldo Mario; Garavello, Mauro; Tandy, Matthew Laurence (Journal article, 2023)
      Consider the coupling of 2 evolution equations, each generating a global process. We prove that the resulting system generates a new global process. This statement can be applied to differential equations of various kinds. ...
    • Regularity for an anisotropic equation in the plane 

      Lindqvist, Peter; Ricciotti, Diego (Journal article, 2018)
      We present a simple proof of the C1 regularity of p-anisotropic functions in the plane for 2≤p <∞. We achieve a logarithmic modulus of continuity for the derivatives.The monotonicity (in the sense of Lebesgue) of the ...