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Torstein Kastberg Nilssen

Associate Professor

J2044 ( Universitetsveien 25, Kristiansand )

Work experience

  • October 2019. Associate Professor, Institute of Mathematics, University of Agder, Norway.
  • February 2017 - Oktober 2019. Post-doc at Technische Universität Berlin, Insitut für Mathematik.
  • November 2015 - July 2016. Guest researcher at the University of Southern California, Los Angeles.
  • March 2014 - June 2014. Guest researcher at the University of Manchester, Department of Mathematics.
  • February 2014 - Januar 2017. Post-doc at University of Oslo, Institute of Mathematics, Norway.
  • January 2013 - July 2013. Guest researcher at Humbold Universität zu Berlin, Institut für Mathematik.
  • January 2010 - December 2013. PhD candidate at the Universitety of Oslo, Institute of Mathematics.

Academic interests

Nonlinear stochastic partial differential equations and variational methods. Pathwise solutions and rough paths. Stochastic (Partial) Differential Equations with irregular coeffcients. The (Stochastic) Transport Equation. Regularizing effect of noise. Malliavin calculus. 

Selected publications

  • Antoine Hocquet, Torstein Nilssen: An Itô Formula for rough partial differential equations and some applications.
    Potential Analysis (2020) https://doi.org/10.1007/s11118-020-09830-y
  • David Banos, Torstein Nilssen, Frank Proske: Strong existence and higher order Frechet differentiability of stochastic flows of fractional Brownian motion driven SDE's with singular drift.
    Journal of Dynamics and Differential Equations (2019). https://doi.org/10.1007/s10884-019-09789-4
    Preprint: http://arxiv.org/abs/1511.02717
  • Torstein Nilssen: Rough linear PDE's with discontinuous coeffcients - existence of solutions via regularization by fractional Brownian motion.
    Electron. J. Probab. Volume 25 (2020), paper no. 34, 33 pp.
    Preprint: http://arxiv.org/abs/1509.01154
  • Peter Friz, Torstein Nilssen Wilhelm Stannat: Existence, uniqueness and stability of semilinear rough partial differential equations.
    Journal of Differential Equations, 2019, ISSN 0022-0396, https://doi.org/10.1016/j.jde.2019.09.033.Antoine Hocquet, Torstein Nilssen, Wilhelm Stannat: Generalized Burgers equation with rough transport noise.
    Stochastic Processes and their Applications, 2019, ISSN 0304-4149, https://doi.org/10.1016/j.spa.2019.06.014.
  • Martina Hofmanova, James-Michael Leahy, Torstein Nilssen: On the Navier-Stokes equation perturbed by rough transport noise.
    Journal of Evolution Equations (2018). https://doi.org/10.1007/s00028-018-0473-z
  • Torstein Nilssen: Quasi-linear Stochastic Partial Differential Equations with irregular Coeffcients - Malliavin Regularity of the Solution.
    Stochastic Partial Differential Equations: Analysis and Computations. September 2015, Volume 3, Issue 3, pp 339-359.
  • Salah-Eldin A. Mohammed, Torstein Nilssen, Frank Proske: Sobolev Differentiable Stochastic Flows of SDE`s with Measurable Drift and Applications.
    Ann. Probab. Volume 43, Number 3 (2015), 1535-1576.
  • David Banos, Torstein Nilssen: Malliavin regularity and regularity of densities of SDE's. A classical solution to the stochastic transport equation. Stochastics, (2015), DOI: 10.1080/17442508.2015.1102265.
  • Torstein Nilssen: Regularity of Strong Solutions of one-dimensional SDE's with discontinuous and unbounded drift.
    Stochastics, An International Journal of Probability and Stochastic Processes, Volume 88, 2016 -
    Issue 5
  • Thilo Meyer-Brandis, Torstein Nilssen, Olivier Menoukeu-Pamen, Frank Norbert Proske, Tusheng Zhang: A variational approach to the construction and Malliavin differentiability of strong solutions of SDE's.
    Mathematische Annalen, Springer-Verlag Berlin Heidelberg 201310.1007/s00208-013-0916-3, 2013.

Scientific publications

  • Nilssen, Torstein (2022). A rough path Euler equation.

Last changed: 4.05.2020 10:05