Filters

2021 - 20223

More filters

20223
Reset filters

Settings

End date: 2024 × Start date: 2020 × DDC: 510 × Type: Text × Type: article × Publisher: Dordrecht [u.a.] : Springer Science + Business Media B.V × WGL Institute: WIAS ×

Search Results

Now showing 1 - 3 of 3
  • Thumbnail Image
    Item
    Quantitative Heat-Kernel Estimates for Diffusions with Distributional Drift
    (Dordrecht [u.a.] : Springer Science + Business Media B.V, 2022) Perkowski, Nicolas; van Zuijlen, Willem
    [For Abstract, see PDF]
  • Thumbnail Image
    Item
    Uncertainty Quantification in Image Segmentation Using the Ambrosio–Tortorelli Approximation of the Mumford–Shah Energy
    (Dordrecht [u.a.] : Springer Science + Business Media B.V, 2021) Hintermüller, Michael; Stengl, Steven-Marian; Surowiec, Thomas M.
    The quantification of uncertainties in image segmentation based on the Mumford–Shah model is studied. The aim is to address the error propagation of noise and other error types in the original image to the restoration result and especially the reconstructed edges (sharp image contrasts). Analytically, we rely on the Ambrosio–Tortorelli approximation and discuss the existence of measurable selections of its solutions as well as sampling-based methods and the limitations of other popular methods. Numerical examples illustrate the theoretical findings.
  • Thumbnail Image
    Item
    On the Stokes-Type Resolvent Problem Associated with Time-Periodic Flow Around a Rotating Obstacle
    (Dordrecht [u.a.] : Springer Science + Business Media B.V, 2022) Eiter, Thomas
    Consider the resolvent problem associated with the linearized viscous flow around a rotating body. Within a setting of classical Sobolev spaces, this problem is not well posed on the whole imaginary axis. Therefore, a framework of homogeneous Sobolev spaces is introduced where existence of a unique solution can be guaranteed for every purely imaginary resolvent parameter. For this purpose, the problem is reduced to an auxiliary problem, which is studied by means of Fourier analytic tools in a group setting. In the end, uniform resolvent estimates can be derived, which lead to the existence of solutions to the associated time-periodic linear problem.