JOURNAL ARTICLES

• Nathanael Skrepek and Marcus Waurick
  Semi-uniform stabilization of anisotropic Maxwell's equations via boundary feedback on split boundary
  Journal of Differential Equations, accepted, 2024,  arXiv
  
• Krešimir Burazin, Marko Erceg, and Marcus Waurick
  Evolutionary Equations are G-compact
  Journal of Evolution Equations, accepted, 2024 arXiv
  
• Trostorff, S. and Waurick, M. 
  Characterisation for Exponential Stability of port-Hamiltonian Systems
  Israel Journal of Mathematics, accepted, 2024, arXiv 
• Andreas Buchinger, Nathanael Skrepek and Marcus Waurick
  Weak Operator Continuity for Evolutionary Equations
  Pure and Applied Functional Analysis, accepted, 2024, arXiv
  
• Tomáš Dohnal, Mathias Ionescu-Tira, and Marcus Waurick
  Well-Posedness and Exponential Stability of Nonlinear Maxwell Equations for Dispersive Materials with Interface
  Journal of Differential Equations, accepted, 2023. arXiv
  
• Picard, R; Trostorff, S.; Watson, B; and Waurick, M. 
  A Structural Observation on port-Hamiltonian Systems
  SIAM J. Control Optim. 61, No. 2, 511-535, 2023. arxiv 
  
• Diethelm, K; Kitzing, K.; Picard, R.; Siegmund, S.; Trostorff, S.; Waurick, M. 
  A Hilbert space approach to fractional differential equations 

       Journal of Dynamics and Differential Equations, 34(1):481-504, 2022 arXiv

• Pauly, D. and Waurick, M. 

       The Index of some mixed order Dirac-type operators and generalised Dirichlet-Neumann fields
       Mathematische Zeitschrift, 301(2):1739-1819, 2022  arXiv

• Nicaise, S. and Waurick, M. 
  Nonlocal homogenisation theory for curl-div-systems 

       Mathematische Nachrichten, 259(5):950-969, 2022 arXiv 

• Neukamm, S., Varga, M. and Waurick, M. 
  Two-scale homogenization of abstract linear time-dependent PDEs 

       Asymptotic Analysis, 125(3-4):247-287, 2021 arXiv 

• Trostorff, S. and Waurick, M. 

       Maximal Regularity for Non-Autonomous Evolutionary Equations.  
       Integral Equations and Operator Theory, no. 2, paper number 30, 37pp, 2021  arXiv 

• Pauly, D.; Picard, R.; Trostorff, S. and Waurick, M. 
  On a Class of Degenerate Abstract Parabolic Problems and Applications to Some Eddy Current Models 

       Journal of Functional Analysis, 280(7), paper number 108847, 45pp, 2021 arXiv 

• Waurick, M. and S.-A. Wegner 
  Dissipative extensions and port-Hamiltonian operators on networks   
  Journal of Differential Equations, 269(9): 6830--6874, 2020 arXiv
• Cooper, S. and Waurick, M. 
  Fibre Homogenisation 
  Journal of Functional Analysis 276(11):3363--3405, 2019  arXiv 
• Trostorff, S. and Waurick, M. 
  On Differential-Algebraic Equations in Infinite Dimensions 
  Journal of Differential Equations, 266(1): 526-561, 2019 arXiv 
• Elst, A.F.M. ter; Gorden, G. and Waurick, M. 
  The Dirichlet-to-Neumann operator for divergence form problems 
  Annali di Matematica Pura ed Applicata, 198(1): 177-203, 2019 arXiv 
• Franz, S.; Trostorff, S. and Waurick, M. 
  Numerical Methods for Changing Type Systems 
  IMA Journal of Numerical Analysis, 39(2): 1009-1038, 2019  arXiv  open access  
  
• Waurick, M. 
  Homogenisation and the Weak Operator Topology 
  Quantum Studies: Mathematics and Foundations, 6(3) 375–396 2019  arXiv  
  
• Waurick, M. 
  Nonlocal H-convergence 
  Calculus of Variations and Partial Differential Equations 57(6): Art. 159, 46 pp., 2018 arXiv 
• Waurick, M. and Wegner, S.-A. 
  Some remarks on the notions of boundary systems and boundary triple(t)s 
  Mathematische Nachrichten 291(16): 2489-2497, 2018 arXiv 
• Franz, S. and Waurick, M. 
  Resolvent estimates and numerical implementation for the homogenisation of one-dimensional periodic mixed type problems 
  Zeitschrift für Angewandte Mathematik und Mechanik, 98(7): 1036-1294, 2018  arXiv 
• Cherednichenko, K.; Waurick, M. 
  Resolvent estimates in homogenisation of periodic problems of fractional elasticity 
  Journal of Differential Equations 264(6): 3811–3835, 2018.  arXiv  open access 
• Waurick, M. 
  A Functional Analytic Perspective to the div-curl Lemma 
  Journal of Operator Theory, 80(1): 95-111, 2018  arXiv  
• Franz, S.; Höhne, K.; Waurick, M. 
  A solution decomposition for a singularly perturbed fourth-order problem 
  Analysis 37(2):77--100, 2017. arXiv 
• Garay, B.; Siegmund, S.; Trostorff, S.; Waurick, M. 
  Some remarks on local activity and local passivity 
  Internat. J. Bifur. Chaos Appl. Sci. Engrg. 27 (4), 1750057, 13 pp., 2017  arXiv 
• Picard, R.; Trostorff, S.; Waurick, M. 
  On Maximal Regularity for a Class of Evolutionary Equations 
  Journal of Mathematical Analysis and Applications, 449(2): 1368–1381, 2017.  arXiv 
• Süß, A.; Waurick, M. 
  A Solution Theory for a General Class of SPDEs 
  Stochastics and Partial Differential Equations: Analysis and Computations, 5(2): 278-318, 2017 arXiv , open acces 
• Mukhopadyay, 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 
• Picard, R.; Trostorff, S.; Waurick, M. 
  On a Connection between the Maxwell System, the Extended Maxwell System, the Dirac Operator and Gravito-Electromagnetism. 
  Math. Meth. Appl. Sci., 40(2): 415-434, 2017.  arXiv 
• Waurick, M. 
  Stabilization via Homogenization 
  Applied Mathematics Letters, 60: 101-107, 2016  arXiv 
• Waurick, M. 
  On the homogenization of partial integro-differential-algebraic equations 
  Operators and Matrices, 10(2): 247-283, 2016. arXiv 
• Mulholland, A. J.; Picard, R.; Trostorff, S.; Waurick, M. 
  On well-posedness for some thermo-piezo-electric coupling models 
  Math. Meth. Appl. Sci., 39(15): 4375-4384, 2016. arXiv 
• Getto, P.; Waurick, M. 
  A differential equation with state-dependent delay from cell population biology. 
  Journal of Differential Equations, 260(7): 6176-6200, 2016  arXiv 
• Picard, R.; Seidler, S; Trostorff, S.; Waurick, M. 
  On Abstract grad-div Systems 
  Journal of Differential Equations, 260(6): 4888-4917, 2016  arXiv 
• Seifert, C.; Waurick, M. 
  Perturbations of positive semigroups on Lp-spaces. 
  Positivity, 20(2): 467-481, 2016.  arXiv 
• Mukhopadyay, S.; Picard, R.; Trostorff, S.; Waurick, M. 
  On Some Models in Linear Thermo-Elasticity with Rational Material Laws. 
  Mathematics and Mechanics of Solids, 21(9): 1149-1163, 2016  arXiv 
• Picard, R.; Trostorff, S.; Waurick, M.   
  On a Comprehensive Class of Linear Control Problems.  
  IMA Journal of Mathematical Control and Information, 33 (2): 257-291, 2016. arXiv  
  
• Schubert, C.; Seifert, C.; Voigt, J.; Waurick, M 
  Boundary systems and (skew-)self-adjoint operators on infinite metric graphs 
  Mathematische Nachrichten, 288(14-15): 1776-1785, 2015.  arXiv 
• Waurick, M. 
  A note on causality in Banach spaces. 
  Indagationes Mathematicae, 26(2): 404-412, 2015  arXiv 
• Picard, R.; Trostorff, S.; Waurick, M. 
  On Evolutionary Equations with Material Laws Containing Fractional Integrals 
  Math. Meth. Appl. Sci., 38(15): 3141-3154, 2015  arXiv 
• Picard, R.; Trostorff, S.; Waurick, M. 
  On Some Models for Elastic Solids with Micro-Structure 

        Zeitschrift für Angewandte Mathematik und Mechanik. 95(7): 664-689, 2015, DOI: 10.1002/zamm.201300297 arXiv 

• Waurick, M.   

        On Non-Autonomous Integro-Differential-Algebraic Evolutionary Problems. 
        Mathematical Methods in the Applied Sciences 38(4): 665-676, 2015 arXiv  

• Waurick, M
  G-convergence of linear differential equations. 
  Journal of Analysis and its Applications 33(4): 385-415, 2014 arXiv 
• Waurick, M. 
  Homogenization in fractional elasticity 
  SIAM J. Math. Anal. 46(2): 1551-1576, 2014  arXiv 
• Trostorff, S; Waurick M.
  A note on elliptic type boundary value problems with maximal monotone relations 
  Mathematische Nachrichten. 287(13): 1545-1558, 2014 arXiv 
• Kalauch, A.; Picard, R.; Siegmund, S.; Trostorff, S.; Waurick, M. 
  A Hilbert Space Perspective on Ordinary Differential Equations with Memory Term 
  Journal of Dynamics and Differential Equations. 26(2):369-399, 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
  
• Picard, R.; Trostorff, S.; Waurick, M.; Wehowski, M. 
  On Non-Autonomous Evolutionary Problems 
  Journal of Evolution Equations 13:751-776, 2013arXiv 
• Waurick M. 
  Homogenization of a class of linear partial differential equations 
  Asymptotic Analysis 82: 271-294, 2013 
• Pannier, S.; Waurick M.; Graf, W.; Kaliske, M. 
  Solutions to problems with imprecise data - An engineering perspective to generalized uncertainty models 

        Mechanical Systems and Signal Processing 37 (1-2):105-120, 2013. http://dx.doi.org/10.1016/j.ymssp.2012.08.002

• Waurick, M.
  A Hilbert Space Approach to Homogenization of Linear Ordinary Differential Equations Including Delay and Memory Terms 

       Mathematical Methods in the Applied Sciences, 35(9): 1067-1077,2012 Link  

BOOK CHAPTERS / PROCEEDINGS

• Waurick, M. and Zwart, H.
  Asymptotic Stability of port-Hamiltonian Systems
  WOSTAP Proceedings, accepted arXiv
  
• Franz, S. and Waurick, M. 
  Homogenisation of parabolic/hyperbolic media 
  Boundary and Interior Layers, Computational and Asymptotic Methods BAIL 2018, 2020
  https://www.springer.com/gp/book/9783030417994
• Kitzing, K.; Picard, R.; Siegmund, S.; Trostorff, S.; Waurick, M.   
  A Hilbert space approach to difference equations   
  Difference equations, discrete dynamical systems and applications, 285–307, 
  Springer Proc. Math. Stat., 287, Springer, Cham, 2019.    arXiv  
  
• Waurick, M.   
  Continuous dependence on the coefficients for a class of non-autonomous evolutionary equations  
  Maxwell’s Equations Analysis and Numerics Series: Radon Series on Computational and Applied Mathematics, 24 https://www.degruyter.com/view/title/528866?rskey=xWZG5F&result=2  2019
• Picard, R.; Trostorff, S. and Waurick, M. 
  On the Well-posedness of a Class of Non-Autonomous SPDEs: An Operator-Theoretical Perspective 
  GAMM-Mitteilungen 41(4): e201800014, Applied Operator Theory ‐ Part II, 2018  arXiv 
• Waurick, M. 
  On operator norm convergence in time‐dependent homogenisation problems 
  PAMM 18, doi:10.1002/pamm.201800009, 2018 Link 
• Trostorff, S. and Waurick, M. 
  On Higher Index Differential-Algebraic-Equations in Infinite Dimensions  
  The diversity and beauty of applied operator theory, Oper. Theory Adv. Appl., 268, 477-486, Birkhäuser/Springer, Cham, 2018. arXiv 
• Waurick, M. 
  G-convergence and the weak operator topology 
  PAMM 16, 883-884, 2016 Link 
  
• Picard, R.; Seidler, S.; Trostorff, S.; Waurick, M. 
  On a Particular Construction of Skew-Selfadjoint Operator Matrices 
  PAMM 15, 695-696, 2015 Link 
  
• Picard, R.; Trostorff, S.; Waurick, M. 
  Well-posedness via Monotonicity. An Overview. 
  Operator semigroups meet complex analysis, harmonic analysis and mathematical physics,
  Oper. Theory Adv. Appl., 250:397-452, Springer, Cham, 2015. arXiv 
  
• McGhee, D.; Picard, R.; Trostorff, S.; Waurick, M. 
  Partial Differential Equations 
  Mathematical Tools for Physicists, 2nd Edition, Grinfeld (Editor), Wiley-VCH, 2014  Link 
• McGhee, D.; Picard, R.; Trostorff, S.; Waurick, M. 
  Mathematical Transformations 
  Mathematical Tools for Physicists, 2nd Edition, Grinfeld (Editor), Wiley-VCH, 2014  Link  
  
• Waurick, M.
  A note on causality in reflexive Banach spaces 
  PAMM 14, 987-988, 2014 Link 
• Waurick, M.
  Homogenization in Fractional Elasticity - One spatial dimension 
  PAMM 13, 521-522, 2013 Link  
  
• Picard, R.; Trostorff, S.; Waurick, M.   
  A note on a class of conservative, well-posed linear control systems 
  Progress in partial differential equations (M. Reissig, M. Ruzhansky eds.),
  Springer Proceedings in Mathematics and Statistics, 44: 261-286 Springer, Cham, 2013.
• Picard, R.; Trostorff, S.; Waurick, M.
  Well-posedness and Conservativity for Linear Control Systems (Part 1) 
  PAMM 12, 777-778, 2012 Link 
• Picard, R.; Trostorff, S.; Waurick, M.
  Well-posedness and Conservativity for Linear Control Systems (Part 2) 
  PAMM 12, 779-780, 2012 Link 
• Waurick, M.; Kaliske, M.
  On the well-posedness of evolutionary equations on infinite graphs 
  Spectral Theory, Mathematical System Theory, Evolution Equations, Differential and Difference Equations.
  Operator Theory: Advances and Applications, Birkhaeuser, 221: 653-666, 2012. Link  
  
• Waurick, M.; Kaliske, M.
  A Note on Homogenization of Ordinary Differential Equations with Delay Term 
  PAMM 11, 889-890, 2011 Link