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
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