Publikationen

Hier finden Sie eine Liste der Publikationen von Mitgliedern des Lehrgebiets:

• J. Kerner, M. Täufer, On the spectral gap of higher-dimensional Schrödinger operators on large domains, arXiv:2110.15110.
• D. Mugnolo, A. Rhandi: Ornstein-Uhlenbeck Semigroups on Star Graphs, arXiv:2109.12369.
• D. Mugnolo, E. Vitillaro: The wave equation with acoustic boundary conditions on non-locally reacting surfaces, arXiv:2105.09219.
• M. Erbar, D. Forkert, J. Maas, D. Mugnolo: Gradient flow formulation of diffusion equations in the Wasserstein space over a metric graph, arXiv:2105.05677.
• D. Mugnolo: What is actually a metric graph?, arXiv:1912.07549.
• J. Kerner, M. Pechmann, Bose-Einstein condensation for particles with repulsive short-range pair interactions in a Poisson random external potential in R^d, arXiv:2110.04587.
• J. Kerner, P. Yatsyna, On the spectral gap of the path graph in the limit of large volume, arXiv:2106.08910.
• M. Plümer, M. Täufer, On fully supported eigenfunctions of quantum graphs, arXiv:2106.10096.
• M. Täufer, I. Veselic, Wegner estimate and localisation for alloy type operators with minimal support assumptions on the single site potential, arXiv:2103.09012.
• J. Kerner, A lower bound on the spectral gap of Schrödinger operators with weak potentials of compact support, arXiv:2103.03813.
• J. Kerner, A lower bound on the spectral gap of one-dimensional Schrödinger operators, arXiv:2102.03816.
• J. Kerner, M. Täufer, On the spectral gap of one-dimensional Schrödinger operators on large intervals, arXiv:2012.09060.
• C. Schumacher and M. Täufer, The Statistics of Noisy One-Stage Group Testing in Outbreaks, arXiv:2012.02101.
• M. Plümer, Upper Eigenvalue Bounds for the Kirchhoff Laplacian on Embbeded Metric Graphs, arXiv:2004.03230.
• A. Kostenko, D. Mugnolo, N. Nicolussi, Self-adjoint and Markovian extensions of infinite quantum graphs, arXiv:1911.04735.
• A. Khoutaibi, L. Maniar, D. Mugnolo, A. Rhandi: Parabolic equations with dynamic boundary conditions and drift terms, arXiv:1909.02377.
• O. El-Mennaoui, H. Laasri, Stability for evolution equations governed by a non-autonomous form, arXiv:1706.06895.
• O. El-Mennaoui, H. Laasri, Uniform approximation of non-autonomous evolution equations, arXiv:1606.04331.
• E. Estrada, D. Mugnolo: Hubs-biased resistance distances on graphs and networks, Journal of Mathematical Analysis and Applications 507 (2022) 125728.
• M. Hofmann, J.B. Kennedy, D. Mugnolo, M. Plümer: On Pleijel’s nodal domain theorem for quantum graphs, Annales Henri Poincaré 22, 3841-3870 (2021).
• M. Hofmann, J.B. Kennedy, D. Mugnolo, M. Plümer: Asymptotics and estimates for spectral minimal partitions of metric graphs, Integral Equations and Operator Theory 93, 1-36 (2021).
• M. Kramar Fijavž, D. Mugnolo, S. Nicaise: Dynamic transmission conditions for linear hyperbolic systems on networks, Journal of Evolution Equations (2021), https://doi.org/10.1007/s00028-021-00715-0.
• J.B. Kennedy, P. Kurasov, C. Léna, D. Mugnolo: A theory of spectral partitions of metric graphs, Calculus of Variations and Partial Differential Equations 60, 1-63 (2021).
• P. Kurasov, D. Mugnolo, V. Wolf: Analytic solutions for stochastic hybrid models of gene regulatory networks, Journal of Mathematical Biology 82, 9 (2021).
• J. Glück, D. Mugnolo: Eventual domination for linear evolution equations, Mathematische Zeitschrift 299, 1421-1443 (2021).
• S. Becker, F. Gregorio, D. Mugnolo: Schrödinger and polyharmonic operators on infinite graphs: Parabolic well-posedness and p-independence of spectra, Journal of Mathematical Analysis and Applications 495, 124748 (2021).
• S. Bonaccorsi, F. Cottini, D. Mugnolo: Random evolution equations: well-posedness, asymptotics, and applications to graphs, Applied Mathematics & Optimization 84, 2849-2887 (2021).
• A. Hussein, D. Mugnolo: If time were a graph, what would evolution equations look like?, Journal of Evolution Equations (2021), https://doi.org/10.1007/s00028-021-00672-8.
• J. Kerner, M. Pechmann, On the effect of repulsive interactions on Bose-Einstein condensation in the Luttinger-Sy model, Proceedings of the American Mathematical Society 149, 3499-3513 (2021).
• R. Clouâtre, M. Hartz, Multipliers and operator space structure of weak product spaces, Analysis & PDE 14, 1905-1924 (2021).
• F. Gregorio, D. Mugnolo: Higher-order operators on networks: hyperbolic and parabolic theory, Integral Equations and Operator Theory 92, 1-22 (2020).
• F.M. Atay, P. Kurasov, D. Mugnolo (eds.): Discrete and Continuous Models in the Theory of Networks, Birkhäuser 2020.
• J. Kerner, H. Laasri, D. Mugnolo (eds.): Control Theory of Infinite-Dimensional Systems, Birkhäuser 2020.
• M. Kramar Fijavž, D. Mugnolo, S. Nicaise: Linear hyperbolic systems on networks: Well-posedness and qualitative properties, ESAIM: COCV 27, 7 (2021).
• F. Gregorio, D. Mugnolo: Bi-Laplacians on graphs and networks, Journal of Evolution Equations 20, 191-232 (2020).
• H. Laasri, D. Mugnolo: Ultracontractivity and Gaussian bounds for evolution families associated with non-autonomous forms, Mathematical Methods in the Applied Sciences 43, 1409-1436 (2020).
• D. Mugnolo, M. Plümer: Lower estimates on eigenvalues of quantum graphs, Operators and Matrices 14, 743-765 (2020).
• J. Bolte, J. Kerner: Many-particle quantum graphs: A review, in: Discrete and Continuous Models in the Theory of Networks, Birkhäuser 2020, 29-66.
• J. Kerner, M. Pechmann, W. Spitzer, On a condition for type-I Bose-Einstein condensation in random potentials in d dimensions, Journal de Mathématiques Pures et Appliquées 143, 287-310 (2020).
• S. Egger, J. Kerner, K. Pankrashkin, Discrete spectrum of Schrödinger operators with potentials concentrated near conical surfaces, Letters in Mathematical Physics 110 (2020), 945-968.
• S. Egger, J. Kerner, K. Pankrashkin, Bound states of a pair of particles on the half-line with a general interaction potential, Journal of Spectral Theory 110 (2020), 945-968.
• J. Kerner, On the number of isolated eigenvalues of a pair of particles in a quantum wire, Operators and Matrices 14, 717-722 (2020).
• J. Kerner, Impact of surface defects on a condensate of electron pairs in a quantum wire, Teoreticheskaya i Matematicheskaya Fizika 203, 300-310 (2020).
• R. Clouâtre, M. Hartz, D. Schillo, A Beurling-Lax-Halmos theorem for spaces with a complete Nevanlinna-Pick factor, Proceedings of the American Mathematical Society 148, 731-740 (2020).
• S. Ottaviano, F. De Pellegrini, S. Bonaccorsi, D. Mugnolo, P. Van Mieghem, Community networks with equitable partitions, in: Multilevel Strategic Interaction Game Models for Complex Networks, Springer 2019, 111-129.
• F. Gregorio, J. Kerner, On Lennard-Jones-type potentials on the half-line, Archiv der Mathematik 112, 101-111 (2019).
• J. Kerner, M. Pechmann, W. Spitzer, Bose–Einstein Condensation in the Luttinger-Sy Model with Contact Interaction, Annales Henri Poincaré 20, 2101-2134 (2019).
• G. Berkolaiko, J.B. Kennedy, P. Kurasov, D. Mugnolo: Surgery principles for the spectral analysis of quantum graphs, Transactions of the American Mathematical Society 372, 5153-5197 (2019).
• J. Kerner, On Bound Electron Pairs on the Half-Line, Reports on Mathematical Physics 83, 129-138 (2019).
• J. Kerner, A remark on the effect of random singular two-particle interactions, Archiv der Mathematik 112, 649-659 (2019).
• A. Canale, F. Gregorio, A. Rhandi, C. Tacelli, Weighted Hardy’s inequalities and Kolmogorov-type operators, Applicable Analysis 98, 1236-1254 (2019).
• A. Aleman, M. Hartz, J.E. McCarthy, S. Richter, Radially Weighted Besov Spaces and the Pick Property, in: Analysis of Operators on Function Spaces, Birkhäuser 2019, 29-62.
• P. Kurasov, A. Lück, D. Mugnolo, V. Wolf: Stochastic hybrid models of gene regulatory networks - A PDE approach, Mathematical biosciences 305, 170-177 (2018).
• D. Mugnolo, D. Noja, C. Seifert: Airy-type evolution equations on star graphs, Analysis & PDE 11, 1625-1652 (2018).
• H. Kovařík, D. Mugnolo: Heat kernel estimates for Schrödinger operators on exterior domains with Robin boundary conditions, Potential Analysis 48, 159-180 (2018).
• D. Mugnolo, Dynamical systems associated with adjacency matrices, Discrete and Continuous Dynamical Systems B 23, 1945-1973 (2018).
• J. Kerner, On pairs of interacting electrons in a quantum wire, Journal of Mathematical Physics 59, 063504 (2018).
• W. Dada, J. Kerner, N. Ekursun-Özcan, On the numerical range with respect to a family of projections, Methods of Functional Analysis and Topology 24, 297-304 (2018).
• H. Laasri, Regularity properties for evolution families governed by non-autonomous forms, Archiv der Mathematik 111, 187-201 (2018).
• J. Kerner, T. Mühlenbruch, On a non-separable quantum many-particle system on the half-line, Nanosystems 8, 20-23 (2017).
• S. Egger, J. Kerner, Scattering properties of two singularly interacting particles on the half-line, Reviews in Mathematical Physics 29, 1750032 (2017).
• J. Kerner, T. Mühlenbruch, On a two-particle bound system on the half-line, Reports on Mathematical Physics 80, 143-151 (2017).
• J.B. Kennedy, D. Mugnolo: The Cheeger constant of a quantum graph, PAMM 16 (2016).
• M. Keller, D. Mugnolo, General Cheeger inequalities for p-Laplacians on graphs, Nonlinear Analysis: Theory, Methods & Applications 147, 80-95 (2016).
• J.B. Kennedy, P. Kurasov, G. Malenová, D. Mugnolo: On the spectral gap of a quantum graph, Annales Henri Poincaré 17 (2016), 2439-2473.
• J. Bolte, J. Kerner, Instability of Bose-Einstein condensation into the one-particle ground state on quantum graphs under repulsive perturbations, Journal of Mathematical Physics 57, 043301 (2016).
• J. Kerner, T. Mühlenbruch, Two interacting particles on the half-line, Journal of Mathematical Physics 57, 023509 (2016).
• O. El-Mennaoui, H. Laasri, On evolution equations governed by non-autonomous forms, Archiv der Mathematik 107, 43-57 (2016).
• B. Hua, D. Mugnolo, Time regularity and long-time behavior of parabolic p-Laplace equations on infinite graphs, Journal of Differential Equations 259, 6162-6190 (2015)
• D. Mugnolo (ed.), Mathematical Technology of Networks (Proc. Bielefeld 2013), Springer 2015.
• M. Hein, D. Lenz, D. Mugnolo: Mini-Workshop: Discrete p-Laplacians: Spectral Theory and Variational Methods in Mathematics and Computer Science, Oberwolfach Reports 12, 399-447 (2015).
• A. Dall’Acqua, D. Mugnolo, M. Schelling: A new Gershgorin-type result for the localisa- tion of the spectrum of matrices, Math. Nachr. 288, 1981-1994 (2015).
• S. Bonaccorsi, D. Mugnolo, S. Ottaviano, F. De Pellegrini: Epidemic outbreaks in networks with equitable or almost-equitable partitions, SIAM Journal of Applied Mathematics 75, 2421-2443 (2015).
• D. Mugnolo, S. Nicaise: The heat equation under conditions on the moments in higher dimensions, Mathematische Nachrichten 288, 295-308 (2015).
• D. Mugnolo: Some remarks on the Krein–von Neumann extension of different Laplacians, in: Semigroups of Operators - Theory and Applications, Springer 2015, 69-87.