Publications

Refereed Publications

• Picard, R.; Trostorff, S.; Waurick, M.
  On the Well-posedness of a Class of Non-Autonomous SPDEs: An Operator-Theoretical Perspective.
  GAMM-Mitt., to appear. arxiv
• Trostorff, S.; Waurick,M.
  On Differential-Algebraic Equations in Infinite Dimensions.
  J. Differ. Equations, 226(1), 526-561 (2019). arxiv
• Franz, S.; Trostorff, S.;  Waurick, M.
  Numerical methods for changing type systems.
  IMA J. Numer. Anal. arxiv 

• Mukhopadhyay, S.; Picard, R.;  Trostorff, S.; Waurick, M.           
  A Note on a Two-Temperature Model in Linear Thermoelasticity.
  Math. Mech. Solids, 22(5), 905-918 (2017). arxiv     

• Garay, B.; Siegmund, S.; Trostorff, S.; Waurick, M.           
  A remark on local activity and passivity.
  Int. J. Bifurcation Chaos, 27(4), 1750057 (2017). arxiv

• Trostorff, S.

  On a class of block operator matrices in system theory.
  Complex Anal. Oper. Theory, 11(4), 947–960 (2017). arxiv

• Picard, R.; Trostorff, S.; Waurick, M.

  On Maximal Regularity for a Class of Evolutionary Equations.
  J. Math. Anal. Appl., 449(2), 1368–1381 (2017). arxiv

• Picard, R.; Trostorff, S.; Waurick, M.

  On a Connection between the Maxwell System, the Extended Maxwell System, the Dirac Operator and Gravito-Electromagnetism.
  Math. Methods Appl. Sci., 40(2), 415–434 (2017). arxiv

• Mukhopadhyay, S.; Picard, R.; Trostorff S.; Waurick M.

  On Some Models in Linear Thermo-Elasticity with Rational Material Laws.
   Math. Mech. Solids, 21(9), 1149–1163 (2016). arxiv

• Mullholland, A.J.; Picard, R.; Trostorff, S.; Waurick, M.

  On well-posedness for some thermo-piezo-electric coupling models.
  Math. Methods Appl. Sci., 39(15), 4375–4384 (2016). arxiv

• Picard, R.; Trostorff, S.; Waurick, M.

  On a Comprehensive Class of Linear Control Problems.
  IMA J. Math. Control Info., 33(2), 257–291 (2016). arxiv

• Picard, R.; Seidler, S.; Trostorff, S.; Waurick, M.

  On Abstract grad-div Systems.
  J. Differ. Equations, 260(6), 4888–4917 (2016). arxiv

• Picard, R.; Trostorff, S.; Waurick, M.

  On Evolutionary Equations with Material Laws Containing Fractional Integrals.
  Math. Methods Appl. Sci., 38(15), 3141–3154 (2015). arxiv

• Picard, R.; Trostorff, S.; Waurick, M.

  On Some Models for Elastic Solids with Micro-Structure.
   Z. Angew. Math. Mech., 95, 664–689 (2015). arxiv

• Trostorff, S.

  Exponential stability for second order evolutionary problems.
   J. Math. Anal. Appl., 429(2), 1007–1032 (2015). arxiv

• Trostorff, S.                                                                                                                                On Integro-Differential Inclusions with Operator-valued Kernels.                             Math. Methods Appl. Sci., 38(5), 834-850 (2015). arxiv

• Trostorff, S.                                                                                                                                 A characterization of boundary conditions yielding maximal monotone operators.         J. Funct. Anal., 267(8), 2787-2822 (2014). arxiv

• Trostorff, S.; Waurick, M.

  A note on elliptic type boundary value problems with maximal monotone relations.
  Math. Nachr., 287, 1545–1558 (2014). arxiv

• Trostorff, S.; Wehowski, M.

  Well-posedness of Non-autonomous Evolutionary Inclusions.
  Nonlinear Analysis, 101, 47-65 (2014). arxiv

• Picard, R.; Trostorff, S.; Waurick, M.

  A Functional Analytic Perspective to Delay Differential Equations.
  Oper. Matrices 8(1), 217-236 (2014). arxiv

• Picard, R.; Trostorff, S.; Waurick, M.
  On a Class of Boundary Control Problems.
  Oper. Matrices 8(1), 185-204 (2014). arxiv

• Kalauch, A.; Picard, R.; Siegmund, S.; Trostorff, S.; Waurick, M.

  A Hilbert Space Perspective on Ordinary Differential Equations with Memory Term.
  J. Dyn. Differ. Equations, Vol. 26, No. 2, 369-399 (2014). arxiv

• Trostorff, S.
  Exponential Stability for Linear Evolutionary Equations.
  Asymptotic Anal. 85, 179-197 (2013). arxiv

• Picard, R.; Trostorff, S.; Waurick, M.; Wehowski, M.

  On Non-autonomous Evolutionary Problems.
  J. Evol. Equ. 13, 751–776 (2013). arxiv

• Trostorff, S.
  Autonomous Evolutionary Inclusions with Applications to Problems with Nonlinear Boundary Conditions.
  Int. J. Pure Appl. Math., Vol. 85, No. 2, 303-338 (2013). arxiv    

• Trostorff, S.

  An alternative approach to well-posedness of a class of differential inclusions in Hilbert spaces.                                                                                                             Nonlinear Analysis 75, 5851-5865 (2012).

Handbook Articles

• McGhee D.; Picard, R.; Trostorff, S; Waurick M.
  Mathematical Transformations.                                                                               Mathematical Tools for Physicists (M. Grinfield ed.), 2nd Edition, Wiley-VCH (2014).

• McGhee D.; Picard, R.; Trostorff, S; Waurick M.
  Partial Differential Equations.                                                                                Mathematical Tools for Physicists (M. Grinfield ed.), 2nd Edition, Wiley-VCH (2014).

Articles in Conference Proceedings

• Kitzing, K.; Picard, R.; Siegmund, S.; Trostorff, S.; Waurick, M.
  A Hilbert space approach to difference equations.
  Proceedings of the ICDEA 2017, to appear. arxiv
• Trostorff, S.; Waurick,M.
  On higher index differential-algebraic equations in infinite dimensions. arxiv 
  The Diversity and Beauty of Applied Operator Theory (A. Böttcher, D. Potts, P. Stollmann and D. Wenzel eds.), Operator Theory: Advances and Applications, Vol. 268, 477-486, Birkhäuser (2018).

• Trostorff, S.
  Exponential stability of a second-order integro-differential equation with delay.        Proc. Appl. Math. Mech. 15: 699-700 (2015).

• Picard, R.; Trostorff, S.; Waurick, M.

  Well-posedness via Monotonicity. An Overview.

  Operator Semigroups Meet Complex Analysis, Harmonic Analysis and Mathematical Physics (W. Arendt, R. Chill and Y. Tomilov eds.), Operator Theory: Advances and Applications, Vol. 250, 397-452, Birkhäuser (2015). arxiv

• Trostorff, S.
  A Note on Exponential Stability for Evolutionary Equations.                                         Proc. Appl. Math. Mech. 14: 983-984 (2014).                               

• Trostorff, S.                                                                                                                               An alternative approach to integro-differential equations.                                                Proc. Appl. Math. Mech. 13: 593-594 (2013).

• Picard, R.; Trostorff, S.; Waurick, M.

  A note on a class of conservative, well-posed linear control systems.                 Progress in Partial Differential Equations: Asymptotic Profiles, Regularity and Well-Posedness  (M. Reissig, M. Ruzhansky eds.),  Springer Proceedings in Mathematics & Statistics, Vol. 44, 261-286, Springer (2013).

• Picard, R.; Trostorff, S.; Waurick, M.
  Well-posedness and Conservativity for Linear Control Systems (Part 1).                   Proc. Appl. Math. Mech. 12: 777-778 (2012).

• Picard, R.; Trostorff, S.; Waurick, M.
  Well-posedness and Conservativity for Linear Control Systems (Part 2).                   Proc. Appl. Math. Mech. 12: 779-780 (2012).

Preprints

• Anh, P.T.; Babiarz, A.; Czornik, A.; Kitzing, K.; Niezabitowski, M.;  Siegmund, S.; Trostorff, S.; Tuan, H.T.
  A Hilbert space approach to fractional difference equations. arXiv
• Pauly, D.; Picard, R.; Trostorff, S.; Waurick, M.
  On a Class of Degenerate Abstract Parabolic Problems and Applications to Some Eddy Current Models. arxiv
• Trostorff, S.
  Well-posedness for a general class of differential inclusions. arxiv

• Picard, R.; Trostorff, S.; Waurick, M.

  Mother Operators and their Descendants. arxiv

Theses

• Exponential Stability and Initial Value Problems for Evolutionary Equations.
  Habilitation Thesis, TU Dresden (2018). pdf
• Well-posedness and causality for a class of evolutionary inclusions.                                  Dissertation, TU Dresden (2011). pdf 
• Charakterisierung verallgemeinerter Kato-Klassen durch nichtlineare Bessel-Potentiale.                                                                                                                                     Diploma Thesis, TU Dresden (2008).