Blar i Fakultet for informasjonsteknologi og elektroteknikk (IE) på tidsskrift "Nonlinear Analysis"
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A control problem related to the parabolic dominative p-Laplace equation
(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
(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
(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
(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 ...