Books
Gesztesy, F.; Waurick, M.
The Callias Index Formula Revisited
Springer Lecture Notes in Mathematics 2157, 200pp, 2016. arXiv or Springer
Picard, R.; Trostorff, S.; Waurick, M.: and D. McGhee
A Primer for a Secret Shortcut to PDEs of Mathematical Physics
Frontiers in Mathematics, Birkhaeuser, appr 200pp, accepted, 2019.
Refereed Articles
[57] Cooper, S. and Waurick, M.
Fibre Homogenisation
Journal of Functional Analysis 276(11):3363--3405, 2019 arXiv
[56] Waurick, M.
Nonlocal H-convergence
Calculus of Variations and Partial Differential Equations 57(6): Art. 159, 46 pp., 2018 arXiv
[55] 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
[54] Trostorff, S. and Waurick, M.
On Differential-Algebraic Equations in Infinite Dimensions
Journal of Differential Equations, 266(1): 526-561, 2019 arXiv
[53] 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
[52] 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
[51] 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
[50] 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
[49] 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
[48] Waurick, M.
A Functional Analytic Perspective to the div-curl Lemma
Journal of Operator Theory, 80(1): 95-111, 2018 arXiv
[47] Franz, S.; Höhne, K.; Waurick, M.
A solution decomposition for a singularly perturbed fourth-order problem
Analysis 37(2):77--100, 2017. arXiv
[46] 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
[45] 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
[44] 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
[43] Waurick, M.
Stabilization via Homogenization
Applied Mathematics Letters, 60: 101-107, 2016 arXiv
[42] Waurick, M.
On the homogenization of partial integro-differential-algebraic equations
Operators and Matrices, 10(2): 247-283, 2016. arXiv
[41] 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
[40] 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
[39] Picard, R.; Seidler, S; Trostorff, S.; Waurick, M.
On Abstract grad-div Systems
Journal of Differential Equations, 260(6): 4888-4917, 2016 arXiv
[38] 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
[37] Seifert, C.; Waurick, M.
Perturbations of positive semigroups on Lp-spaces.
Positivity, 20(2): 467-481, 2016. arXiv
[36] 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
[35] Waurick, M.
A note on causality in Banach spaces.
Indagationes Mathematicae, 26(2): 404-412, 2015 arXiv
[34] 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
[33] 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
[32] 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
[31] 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
[30] Waurick, M.
G-convergence of linear differential equations.
Journal of Analysis and its Applications 33(4): 385-415, 2014 arXiv
[29] Waurick, M.
Homogenization in fractional elasticity
SIAM J. Math. Anal. 46(2): 1551-1576, 2014 arXiv
[28] Trostorff, S; Waurick M.
A note on elliptic type boundary value problems with maximal monotone relations.
Mathematische Nachrichten. 287(13): 1545-1558, 2014 arXiv
[27] 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
[26] Waurick, M.
On Non-Autonomous Integro-Differential-Algebraic Evolutionary Problems.
Mathematical Methods in the Applied Sciences 38(4): 665-676, 2015 arXiv
[25] Picard, R.; Trostorff, S.; Waurick, M.; Wehowski, M.
On Non-Autonomous Evolutionary Problems.
Journal of Evolution Equations 13:751-776, 2013arXiv
[24] 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
[23] Picard, R.; Trostorff, S.; Waurick, M.
A Functional Analytic Perspective to Delay Differential Equations
Oper. Matrices 8(1): 217-236, 2014.
arXiv
[22] Picard, R.; Trostorff, S.; Waurick, M.
On a Class of Boundary Control Problems.
Oper. Matrices 8(1): 185-204, 2014.
arXiv
[21] Waurick M.
Homogenization of a class of linear partial differential equations.
Asymptotic Analysis 82: 271-294, 2013
[20] 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
[19] 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
Handbook Articles
[18] McGhee, D.; Picard, R.; Trostorff, S.; Waurick, M.
Partial Differential Equations.
Mathematical Tools for Physicists, 2nd Edition, Grinfeld (Editor), Wiley-VCH, 2014 Link
[17] McGhee, D.; Picard, R.; Trostorff, S.; Waurick, M.
Mathematical Transformations.
Mathematical Tools for Physicists, 2nd Edition, Grinfeld (Editor), Wiley-VCH, 2014 Link
Conference Proceedings
[16] Franz, S. and Waurick, M.
Homogenisation of parabolic/hyperbolic media
BAIL 2018 at Strathclyde, accepted, 2019. arXiv
[15] Waurick, M.
Homogenisation and the Weak Operator Topology
Quantum Studies: Mathematics and Foundations, accepted,
2019 arXiv
[14] Waurick, M.
On operator norm convergence in time‐dependent homogenisation problems
PAMM 18, doi:10.1002/pamm.201800009, 2018 Link
[13] Kitzing, K.; Picard, R.; Siegmund, S.; Trostorff, S.; Waurick, M.
A Hilbert space approach to difference equations
Proceedings of the ICDEA 2017, accepted, 2018 arXiv
[12] Waurick, M.
Continuous dependence on the coefficients for a class of non-autonomous evolutionary equations
Special Issue for the RICAM Special Semester in Linz, accepted, 2018 arXiv
[11] 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
[10] Waurick, M.
G-convergence and the weak operator topology
PAMM 16, 883-884, 2016 Link
[9] Picard, R.; Seidler, S.; Trostorff, S.; Waurick, M.
On a Particular Construction of Skew-Selfadjoint Operator Matrices
PAMM 15, 695-696, 2015 Link
[8] 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
[7] Waurick, M.
A note on causality in reflexive Banach spaces.
PAMM 14, 987-988, 2014 Link
[6] Waurick, M.
Homogenization in Fractional Elasticity - One spatial dimension
PAMM 13, 521-522, 2013 Link
[5] 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.
[4] Picard, R.; Trostorff, S.; Waurick, M.
Well-posedness and Conservativity for Linear Control Systems (Part 1).
PAMM 12, 777-778, 2012 Link
[3] Picard, R.; Trostorff, S.; Waurick, M.
Well-posedness and Conservativity for Linear Control Systems (Part 2).
PAMM 12, 779-780, 2012 Link
[2] Waurick, M.; Kaliske, M.
A Note on Homogenization of Ordinary Differential Equations with Delay Term.
PAMM 11, 889-890, 2011 Link
[1] 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
Preprints
Diethelm, K; Kitzing, K.; Picard, R.; Siegmund, S.; Trostorff, S.; Waurick, M.
A Hilbert space approach to fractional differential equations
(2019) arXiv
Neukamm, S., Varga, M. and Waurick, M.
Two-scale homogenization of abstract linear time-dependent PDEs
(2019) arXiv
Waurick, M. and S.-A. Wegner
Dissipative extensions and port-Hamiltonian operators on networks
(2019) arXiv
Nicaise, S. and Waurick, M.
Nonlocal homogenisation theory for curl-div-systems
(2019) 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
(2018) arXiv
Seifert, C; Vogt, H. and Waurick, M.
A note on perturbations of C0-semigroups
(2018) arXiv
Theses
Habilitation Thesis On the continuous dependence on the coefficients of evolutionary equations arXiv.
TU Dresden (2016)
PhD Thesis Limiting Processes in Evolutionary Equations - A Hilbert Space Approach to Homogenization Link
TU Dresden (2011)
Diploma Thesis Transport und Wellenausbreitung auf Pseudographen
TU Dresden (2009)
E-Mail