Publications and Preprints

Publications

• Computation and stability of waves in equivariant evolution equations. (arXiv, preprint, abstract),
  Wolf-Jürgen Beyn, Denny Otten,
  In: Spectral Structures and Toplogical Methods in Mathematics, Series of Congress Reports (Editors: M. Baake, F. Götze, and W. Hoffmann), Ch. 6, European Mathematical Society (2019), pp. 129-158.
• Spectral Analysis of Localized Rotating Waves in Parabolic Systems (DOI, preprint, abstract),
  Wolf-Jürgen Beyn, Denny Otten,
  In: Philosophical Transactions A, Vol. 376, Issue 2117 (2018), pp. 1-28.
  Revised version of:
  Fredholm Properties and \(L^p\)-Spectra of Localized Rotating Waves in Parabolic Systems (arXiv, preprint, abstract, BibTeX)
  Wolf-Jürgen Beyn, Denny Otten,
  SFB 701, Preprint 16043, http://arxiv.org/abs/1612.07535, 2016 (submitted).
• Computation and Stability of Traveling Waves in Second Order Evolution Equations (DOI arXiv, preprint, abstract, BibTeX),
  Wolf-Jürgen Beyn, Denny Otten, Jens Rottmann-Matthes,
  In: SIAM J. Numer. Anal., Vol. 56, No. 3 (2018), pp. 1786-1817.
• Freezing Traveling and Rotating Waves in Second Order Evolution Equations (DOI, arXiv, preprint, abstract, BibTeX),
  Wolf-Jürgen Beyn, Denny Otten, Jens Rottmann-Matthes,
  In: Patterns of dynamics, Springer Proc. Math. Stat. 205 (2017), pp. 215-241.
• The identification problem for complex-valued Ornstein-Uhlenbeck operators in \(L^p(\mathbb{R}^d,\mathbb{C}^N)\) (DOI, arXiv, preprint, abstract, BibTeX),
  Denny Otten,
  In: Semigroup Forum, Vol. 95, No. 1 (2017), pp. 13-50.
• Spatial Decay of Rotating Waves in Reaction Diffusion Systems (DOI, arXiv, preprint, abstract, BibTeX),
  Wolf-Jürgen Beyn, Denny Otten,
  In: Dynamics of Partial Differential Equations, Vol. 13, No. 3 (2016), pp. 191-240.
• A new \(L^p\)-antieigenvalue condition for Ornstein-Uhlenbeck operators (DOI, arXiv, preprint, abstract, BibTeX),
  Denny Otten,
  In: Journal of Mathematical Analysis and Applications, Vol. 444, Issue 1 (2016), pp. 136-152.
• Exponentially weighted resolvent estimates for complex Ornstein-Uhlenbeck systems (DOI, arXiv, preprint, abstract, BibTeX),
  Denny Otten,
  In: Journal of Evolution Equations, Vol. 15, Issue 4 (2015), pp. 753-799.

• Stability and Computation of Dynamic Patterns in PDEs (DOI, preprint, abstract, BibTeX),
  Wolf-Jürgen Beyn, Denny Otten, Jens Rottmann-Matthes,
  In: Current Challenges in Stability Issues for Numerical Differential Equations,
  Lecture Notes in Mathematics 2082, Springer (2014), pp. 89-172.

• Spatial decay of rotating waves in parabolic systems (preprint, abstract),
  Denny Otten,
  SFB 701, Preprint 12139, 2012.

• Spatial decay and spectral properties of rotating waves in parabolic systems (pdf),
  Denny Otten,
  PhD thesis, Bielefeld University, 2014.
  Published as:
  Spatial decay and spectral properties of rotating waves in parabolic systems,
  Shaker Verlag, Aachen, Germany, 2014.
• Attraktoren für Finite-Elemente Diskretisierungen parabolischer Differentialgleichungen (pdf, Dateien, Beispiele, Movies),
  Denny Otten,
  Diploma thesis, Bielefeld University, 2009.
  Published as:
  Analysis und Numerik von Attraktoren für die Finite-Elemente-Methode: Ein Modellattraktor für eine parabolische Differentialgleichung.
  VDM Verlag Dr. Müller, Saarbrücken, Germany, 2010.