On the differentiability of solutions of stochastic evolution equations with respect to their initial values

In this article we study the differentiability of solutions of parabolic semilinear stochastic evolution equations (SEEs) with respect to their initial values. We prove that if the nonlinear drift coefficients and the nonlinear diffusion coefficients of the considered SEEs are $n$-times continuously Fr\'{e}chet differentiable, then the solutions of the considered SEEs are also $n$-times continuously Fr\'{e}chet differentiable with respect to their initial values. Moreover, a key contribution of this work is to establish suitable enhanced regularity properties of the derivative processes of the considered SEE in the sense that the dominating linear operator appearing in the SEE smoothes the higher order derivative processes

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Addressing climate vulnerability : promoting the participatory rights of indigenous peoples and women through Finnish foreign policy

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Assessments in Policy-Making: Case Studies from the Arctic Council

Julkaistu versi

Demosaicing using nonlinear anisotropic diffusion

Introduction of a novel interpolation method for image data acquired with an image sensor with Bayer filter array. The interpolation algorithm is based on the physical principle of diffusion.Einführung einer neuartigen Interpolationsmethode für Bilddaten die mit einem Bildsensor mit Bayer-Filter aufgenommen wurden. Der Interpolationsalgorithmus basiert auf dem physikalischen Prinzip der Diffusion

“It Keeps Going and Going and Going”: The Expansion of False Advertising Litigation Under the Lanham Act

To improve the conduction band alignment and explore the influence of the buffer-absorber interface, we here investigate an alternative buffer for Cu2ZnSnS4 (CZTS) solar cells. The Zn(O, S) system was chosen since the optimum conduction band alignment with CZTS is predicted to be achievable, by varying oxygen to sulfur ratio. Several sulfur to oxygen ratios were evaluated to find an appropriate conduction band offset. There is a clear trend in open-circuit voltage Voc, with the highest values for the most sulfur rich buffer, before going to the blocking ZnS, whereas the fill factor peaks at a lower S content. The best alternative buffer cell in this series had an efficiency of 4.6% and the best CdS reference gave 7.3%. Extrapolating Voc values to 0 K gave activation energies well below the expected bandgap of 1.5 eV for CZTS, which indicate that recombination at the interface is dominating. However, it is clear that the values are affected by the change of buffer composition and that increasing sulfur content of the Zn(O, S) increases the activation energy for recombination. A series with varying CdS buffer thickness showed the expected behavior for short wavelengths in quantum efficiency measurements but the final variation in efficiency was small

Optical analysis of high pressure diesel sprays using Image segmentation methods

Analysis and evaluation of Diesel fuel injection processes using customized image processing operations. Design and implementation of a multiphase spatiotemporal Chan-Vese segmentation algorithm.Analyse und Auswertung von Dieseltreibstoff-Injektionsprozessen unter Anwendung verschiedener Bildverarbeitungsverfahren. Entwurf und Implementierung eines mehrphasigen zeitlich-räumlichen Chan-Vese Segmentierungsalgorithmus zur Unterscheidung von Flüssig- und Gasphase

Object tracking using variational optic flow methods

We propose an algorithm for tracking of objects in video sequences by computing a spatiotemporal optical flow field, based on the method of Brox et al., and the application of a spatiotemporal watershed segmentation algorithm with region merging on the previously obtained vector field.Es wird ein Algorithmus zum Verfolgen von Objekten in Videosequenzen durch die Berechnung eines zeitlich-räumlichen optischen Flussfeldes präsentiert, basierend auf der Methode von Brox et al., und der darauffolgenden Anwendung eines zeitlich-räumlichen Wasserscheiden-Segmentierungsalgorithmus mit Region Merging auf dem durch den opti- schen Fluss erhaltenen Vektorfeld