Blar i NTNU Open på tidsskrift "Journal des Mathématiques Pures et Appliquées"

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    • Convolutions for localization operators 

      Luef, Franz; Skrettingland, Eirik (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 

      Endal, Jørgen; Ignat, Liviu I.; Quirós, Fernando (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. 

      Alibaud, Nathael; del Teso, Félix; Endal, Jørgen; Jakobsen, Espen Robstad (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. 

      Alibaud, Nathael; del Teso, Félix; Endal, Jørgen; Jakobsen, Espen Robstad (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) ...

    • Plasmonic eigenvalue problem for corners: limiting absorption principle and absolute continuity in the essential spectrum 

      Perfekt, Karl-Mikael (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 ...