Blar i Publikasjoner fra CRIStin - NTNU på tidsskrift "Journal des Mathématiques Pures et Appliquées"
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Convolutions for localization operators
(Journal article; Peer reviewed, 2018)Quantum harmonic analysis on phase space is shown to be linked with localization operators. The convolution between operators and the convolution between a function and an operator provide a conceptual framework for the ... -
Large-time behaviour for anisotropic stable nonlocal diffusion problems with convection
(Journal article; Peer reviewed, 2023)We study the large-time behaviour of nonnegative solutions to the Cauchy problem for a nonlocal heat equation with a nonlinear convection term. The diffusion operator is the infinitesimal generator of a stable Lévy process, ... -
The Liouville theorem and linear operators satisfying the maximum principle.
(Peer reviewed; Journal article, 2020)A result by Courrège says that linear translation invariant operators satisfy the maximum principle if and only if they are of the form L = Lσ,b + Lμ where Lσ,b[u](x) = tr(σσTD2u(x)) + b · Du(x) and Lμ[u](x) = Rd\{0} u(x ... -
The Liouville theorem and linear operators satisfying the maximum principle.
(Peer reviewed; Journal article, 2020)A result by Courrège says that linear translation invariant operators satisfy the maximum principle if and only if they are of the form L = Lσ,b + Lμ where Lσ,b[u](x) = tr(σσTD2u(x)) + b · Du(x) and Lμ[u](x) ... -
Optimal stability results and nonlinear duality for L∞ entropy and L1 viscosity solutions
(Journal article; Peer reviewed, 2024)We give a new and rigorous duality relation between two central notions of weak solutions of nonlinear PDEs: entropy and viscosity solutions. It takes the form of the nonlinear dual inequality: ˆ |Stu0−Stv0|ϕ0dx≤ ˆ ... -
Plasmonic eigenvalue problem for corners: limiting absorption principle and absolute continuity in the essential spectrum
(Peer reviewed; Journal article, 2021)We consider the plasmonic eigenvalue problem for a general 2D domain with a curvilinear corner, studying the spectral theory of the Neumann–Poincaré operator of the boundary. A limiting absorption principle is proved, valid ...