Berkolaiko, Gregory; Kennedy, James B.; Kurasov, Pavel; Mugnolo, Delio Impediments to diffusion in quantum graphs: geometry-based upper bounds on the spectral gap. (English) Zbl 07688427 Proc. Am. Math. Soc. 151, No. 8, 3439-3455 (2023). MSC: 81Q35 34B45 05C50 35P15 35J05 05C69 47B40 39A13 PDF BibTeX XML Cite \textit{G. Berkolaiko} et al., Proc. Am. Math. Soc. 151, No. 8, 3439--3455 (2023; Zbl 07688427) Full Text: DOI arXiv
Mugnolo, Delio; Pivovarchik, Vyacheslav Distinguishing cospectral quantum graphs by scattering. (English) Zbl 1519.81188 J. Phys. A, Math. Theor. 56, No. 9, Article ID 095201, 18 p. (2023). MSC: 81Q05 05C12 81U05 05C69 35P10 81Q35 PDF BibTeX XML Cite \textit{D. Mugnolo} and \textit{V. Pivovarchik}, J. Phys. A, Math. Theor. 56, No. 9, Article ID 095201, 18 p. (2023; Zbl 1519.81188) Full Text: DOI arXiv
Mugnolo, Delio; Plümer, Marvin On torsional rigidity and ground-state energy of compact quantum graphs. (English) Zbl 1504.35603 Calc. Var. Partial Differ. Equ. 62, No. 1, Paper No. 27, 37 p. (2023). MSC: 35R02 05C50 35J05 35J25 35P15 81Q35 PDF BibTeX XML Cite \textit{D. Mugnolo} and \textit{M. Plümer}, Calc. Var. Partial Differ. Equ. 62, No. 1, Paper No. 27, 37 p. (2023; Zbl 1504.35603) Full Text: DOI arXiv
Khoutaibi, A.; Maniar, L.; Mugnolo, D.; Rhandi, A. Parabolic equations with dynamic boundary conditions and drift terms. (English) Zbl 07747292 Math. Nachr. 295, No. 6, 1211-1232 (2022). MSC: 35K20 46E35 47A07 PDF BibTeX XML Cite \textit{A. Khoutaibi} et al., Math. Nachr. 295, No. 6, 1211--1232 (2022; Zbl 07747292) Full Text: DOI arXiv
Kostenko, Aleksey; Mugnolo, Delio; Nicolussi, Noema Self-adjoint and Markovian extensions of infinite quantum graphs. (English) Zbl 07731388 J. Lond. Math. Soc., II. Ser. 105, No. 2, 1262-1313 (2022). MSC: 81Q35 05C50 47B93 34B45 47B25 81Q10 PDF BibTeX XML Cite \textit{A. Kostenko} et al., J. Lond. Math. Soc., II. Ser. 105, No. 2, 1262--1313 (2022; Zbl 07731388) Full Text: DOI arXiv
Mugnolo, Delio; Rhandi, Abdelaziz Ornstein-Uhlenbeck semigroups on star graphs. (English) Zbl 07702077 Discrete Contin. Dyn. Syst., Ser. S 15, No. 12, 3765-3779 (2022). MSC: 47D06 34B45 35J15 35K10 PDF BibTeX XML Cite \textit{D. Mugnolo} and \textit{A. Rhandi}, Discrete Contin. Dyn. Syst., Ser. S 15, No. 12, 3765--3779 (2022; Zbl 07702077) Full Text: DOI arXiv
Erbar, Matthias; Forkert, Dominik; Maas, Jan; Mugnolo, Delio Gradient flow formulation of diffusion equations in the Wasserstein space over a metric graph. (English) Zbl 1496.35405 Netw. Heterog. Media 17, No. 5, 687-717 (2022). MSC: 35R02 49Q22 60B05 PDF BibTeX XML Cite \textit{M. Erbar} et al., Netw. Heterog. Media 17, No. 5, 687--717 (2022; Zbl 1496.35405) Full Text: DOI arXiv
Estrada, Ernesto; Mugnolo, Delio Hubs-biased resistance distances on graphs and networks. (English) Zbl 1478.05039 J. Math. Anal. Appl. 507, No. 1, Article ID 125728, 22 p. (2022). MSC: 05C12 05C50 05C82 PDF BibTeX XML Cite \textit{E. Estrada} and \textit{D. Mugnolo}, J. Math. Anal. Appl. 507, No. 1, Article ID 125728, 22 p. (2022; Zbl 1478.05039) Full Text: DOI arXiv
Kramar Fijavž, Marjeta; Mugnolo, Delio; Nicaise, Serge Dynamic transmission conditions for linear hyperbolic systems on networks. (English) Zbl 07451418 J. Evol. Equ. 21, No. 3, 3639-3673 (2021). MSC: 47D06 35L40 35R02 81Q35 PDF BibTeX XML Cite \textit{M. Kramar Fijavž} et al., J. Evol. Equ. 21, No. 3, 3639--3673 (2021; Zbl 07451418) Full Text: DOI arXiv
Hussein, Amru; Mugnolo, Delio If time were a graph, what would evolution equations look like? (English) Zbl 1495.47068 J. Evol. Equ. 21, No. 3, 2837-2876 (2021). MSC: 47D99 47D06 35B10 34G10 PDF BibTeX XML Cite \textit{A. Hussein} and \textit{D. Mugnolo}, J. Evol. Equ. 21, No. 3, 2837--2876 (2021; Zbl 1495.47068) Full Text: DOI arXiv
Hofmann, Matthias; Kennedy, James B.; Mugnolo, Delio; Plümer, Marvin On Pleijel’s nodal domain theorem for quantum graphs. (English) Zbl 1483.34048 Ann. Henri Poincaré 22, No. 11, 3841-3870 (2021). MSC: 34B45 34L10 81Q35 05C99 PDF BibTeX XML Cite \textit{M. Hofmann} et al., Ann. Henri Poincaré 22, No. 11, 3841--3870 (2021; Zbl 1483.34048) Full Text: DOI arXiv
Glück, Jochen; Mugnolo, Delio Eventual domination for linear evolution equations. (English) Zbl 1485.47068 Math. Z. 299, No. 3-4, 1421-1443 (2021). Reviewer: Hector O. Fattorini (Los Angeles) MSC: 47D06 47B65 46B42 PDF BibTeX XML Cite \textit{J. Glück} and \textit{D. Mugnolo}, Math. Z. 299, No. 3--4, 1421--1443 (2021; Zbl 1485.47068) Full Text: DOI arXiv
Bonaccorsi, Stefano; Cottini, Francesca; Mugnolo, Delio Random evolution equations: well-posedness, asymptotics, and applications to graphs. (English) Zbl 1475.35428 Appl. Math. Optim. 84, No. 3, 2849-2887 (2021). MSC: 35R60 35K15 35R02 47D06 37A50 60K15 PDF BibTeX XML Cite \textit{S. Bonaccorsi} et al., Appl. Math. Optim. 84, No. 3, 2849--2887 (2021; Zbl 1475.35428) Full Text: DOI arXiv
Fijavž, Marjeta Kramar; Mugnolo, Delio; Nicaise, Serge Linear hyperbolic systems on networks: well-posedness and qualitative properties. (English) Zbl 07369225 ESAIM, Control Optim. Calc. Var. 27, Paper No. 7, 46 p. (2021). MSC: 47D06 35L40 35R02 81Q35 PDF BibTeX XML Cite \textit{M. K. Fijavž} et al., ESAIM, Control Optim. Calc. Var. 27, Paper No. 7, 46 p. (2021; Zbl 07369225) Full Text: DOI arXiv
Hofmann, Matthias; Kennedy, James B.; Mugnolo, Delio; Plümer, Marvin Asymptotics and estimates for spectral minimal partitions of metric graphs. (English) Zbl 1467.81051 Integral Equations Oper. Theory 93, No. 3, Paper No. 26, 36 p. (2021). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 81Q35 34B45 35P15 35P20 49Q10 58J50 41A60 PDF BibTeX XML Cite \textit{M. Hofmann} et al., Integral Equations Oper. Theory 93, No. 3, Paper No. 26, 36 p. (2021; Zbl 1467.81051) Full Text: DOI arXiv
Kennedy, James B.; Kurasov, Pavel; Léna, Corentin; Mugnolo, Delio A theory of spectral partitions of metric graphs. (English) Zbl 1462.35222 Calc. Var. Partial Differ. Equ. 60, No. 2, Paper No. 61, 63 p. (2021). MSC: 35P15 35R02 49Q10 81Q35 PDF BibTeX XML Cite \textit{J. B. Kennedy} et al., Calc. Var. Partial Differ. Equ. 60, No. 2, Paper No. 61, 63 p. (2021; Zbl 1462.35222) Full Text: DOI arXiv
Becker, Simon; Gregorio, Federica; Mugnolo, Delio Schrödinger and polyharmonic operators on infinite graphs: parabolic well-posedness and \(p\)-independence of spectra. (English) Zbl 1460.35091 J. Math. Anal. Appl. 495, No. 2, Article ID 124748, 44 p. (2021). MSC: 35J10 31B30 35R02 PDF BibTeX XML Cite \textit{S. Becker} et al., J. Math. Anal. Appl. 495, No. 2, Article ID 124748, 44 p. (2021; Zbl 1460.35091) Full Text: DOI arXiv
Kurasov, Pavel; Mugnolo, Delio; Wolf, Verena Analytic solutions for stochastic hybrid models of gene regulatory networks. (English) Zbl 1459.35362 J. Math. Biol. 82, No. 1-2, Paper No. 9, 30 p. (2021). Reviewer: Eugene Postnikov (Kursk) MSC: 35Q92 92D10 92D20 92C37 35B09 35R60 47D06 93C20 35F46 PDF BibTeX XML Cite \textit{P. Kurasov} et al., J. Math. Biol. 82, No. 1--2, Paper No. 9, 30 p. (2021; Zbl 1459.35362) Full Text: DOI arXiv
Gregorio, Federica; Mugnolo, Delio Correction to: “Higher-order operators on networks: hyperbolic and parabolic theory”. (English) Zbl 1469.35207 Integral Equations Oper. Theory 92, No. 6, Paper No. 54, 1 p. (2020). MSC: 35R02 35K35 35L35 34B45 47D06 PDF BibTeX XML Cite \textit{F. Gregorio} and \textit{D. Mugnolo}, Integral Equations Oper. Theory 92, No. 6, Paper No. 54, 1 p. (2020; Zbl 1469.35207) Full Text: DOI
Mugnolo, Delio; Plümer, Marvin Lower estimates on eigenvalues of quantum graphs. (English) Zbl 1460.34036 Oper. Matrices 14, No. 3, 743-765 (2020). MSC: 34B45 05C50 35P15 81Q35 PDF BibTeX XML Cite \textit{D. Mugnolo} and \textit{M. Plümer}, Oper. Matrices 14, No. 3, 743--765 (2020; Zbl 1460.34036) Full Text: DOI arXiv
Gregorio, Federica; Mugnolo, Delio Higher-order operators on networks: hyperbolic and parabolic theory. (English) Zbl 1462.35425 Integral Equations Oper. Theory 92, No. 6, Paper No. 50, 22 p. (2020); corrigendum ibid. 92, No. 6, Paper No. 54, 1 p. (2020). MSC: 35R02 35K35 35L35 34B45 47D06 PDF BibTeX XML Cite \textit{F. Gregorio} and \textit{D. Mugnolo}, Integral Equations Oper. Theory 92, No. 6, Paper No. 50, 22 p. (2020; Zbl 1462.35425) Full Text: DOI arXiv
Kerner, Joachim (ed.); Laasri, Hafida (ed.); Mugnolo, Delio (ed.) Control theory of infinite-dimensional systems. Contributions of the workshop, Fernuniversität Hagen, Hagen, Germany, January 10–12, 2018. (English) Zbl 1467.93008 Operator Theory: Advances and Applications 277. Cham: Birkhäuser (ISBN 978-3-030-35897-6/hbk; 978-3-030-35900-3/pbk; 978-3-030-35898-3/ebook). vii, 194 p. (2020). MSC: 93-06 00B25 PDF BibTeX XML Cite \textit{J. Kerner} (ed.) et al., Control theory of infinite-dimensional systems. Contributions of the workshop, Fernuniversität Hagen, Hagen, Germany, January 10--12, 2018. Cham: Birkhäuser (2020; Zbl 1467.93008) Full Text: DOI
Hussein, Amru; Mugnolo, Delio Laplacians with point interactions – expected and unexpected spectral properties. (English) Zbl 1501.47067 Banasiak, Jacek (ed.) et al., Semigroups of operators – theory and applications. Selected papers based on the presentations at the conference, SOTA 2018, Kazimierz Dolny, Poland, September 30 – October 5, 2018. In honour of Jan Kisyński’s 85th birthday. Cham: Springer. Springer Proc. Math. Stat. 325, 47-67 (2020). MSC: 47D06 47B12 PDF BibTeX XML Cite \textit{A. Hussein} and \textit{D. Mugnolo}, Springer Proc. Math. Stat. 325, 47--67 (2020; Zbl 1501.47067) Full Text: DOI arXiv
Laasri, Hafida; Mugnolo, Delio Ultracontractivity and Gaussian bounds for evolution families associated with nonautonomous forms. (English) Zbl 1518.47073 Math. Methods Appl. Sci. 43, No. 3, 1409-1436 (2020). Reviewer: Vincenzo Vespri (Firenze) MSC: 47D06 47D07 47A07 35K90 PDF BibTeX XML Cite \textit{H. Laasri} and \textit{D. Mugnolo}, Math. Methods Appl. Sci. 43, No. 3, 1409--1436 (2020; Zbl 1518.47073) Full Text: DOI arXiv
Atay, Fatihcan M. (ed.); Kurasov, Pavel B. (ed.); Mugnolo, Delio (ed.) Discrete and continuous models in the theory of networks. Selected contributions from the participants of the research group hosted by the ZiF – Center for Interdisciplinary Research, University of Bielefeld, Bielefeld, Germany, October 2012 – September 2017 and the final conference, University of Bielefeld, Bielefeld, Germany, November 27 – December 1, 2017. (English) Zbl 1447.00005 Operator Theory: Advances and Applications 281. Cham: Springer (ISBN 978-3-030-44096-1/hbk; 978-3-030-44099-2/pbk; 978-3-030-44097-8/ebook). xx, 357 p. (2020). MSC: 00B25 47-06 37-06 PDF BibTeX XML Cite \textit{F. M. Atay} (ed.) et al., Discrete and continuous models in the theory of networks. Selected contributions from the participants of the research group hosted by the ZiF -- Center for Interdisciplinary Research, University of Bielefeld, Bielefeld, Germany, October 2012 -- September 2017 and the final conference, University of Bielefeld, Bielefeld, Germany, November 27 -- December 1, 2017. Cham: Springer (2020; Zbl 1447.00005) Full Text: DOI
Gregorio, Federica; Mugnolo, Delio Bi-Laplacians on graphs and networks. (English) Zbl 1437.35424 J. Evol. Equ. 20, No. 1, 191-232 (2020). Reviewer: Rodica Luca (Iaşi) MSC: 35K35 47D06 46G10 35R02 PDF BibTeX XML Cite \textit{F. Gregorio} and \textit{D. Mugnolo}, J. Evol. Equ. 20, No. 1, 191--232 (2020; Zbl 1437.35424) Full Text: DOI arXiv Backlinks: MO
Ottaviano, Stefania; De Pellegrini, Francesco; Bonaccorsi, Stefano; Mugnolo, Delio; van Mieghem, Piet Community networks with equitable partitions. (English) Zbl 1444.91178 Altman, Eitan (ed.) et al., Multilevel strategic interaction game models for complex networks. Cham: Springer. 111-129 (2019). MSC: 91D30 92D30 PDF BibTeX XML Cite \textit{S. Ottaviano} et al., in: Multilevel strategic interaction game models for complex networks. Cham: Springer. 111--129 (2019; Zbl 1444.91178) Full Text: DOI
Berkolaiko, Gregory; Kennedy, James B.; Kurasov, Pavel; Mugnolo, Delio Surgery principles for the spectral analysis of quantum graphs. (English) Zbl 1451.34029 Trans. Am. Math. Soc. 372, No. 7, 5153-5197 (2019). Reviewer: Jonathan Rohleder (Stockholm) MSC: 34B45 05C50 35P15 81Q35 34L15 PDF BibTeX XML Cite \textit{G. Berkolaiko} et al., Trans. Am. Math. Soc. 372, No. 7, 5153--5197 (2019; Zbl 1451.34029) Full Text: DOI arXiv
Kurasov, Pavel; Lück, Alexander; Mugnolo, Delio; Wolf, Verena Stochastic hybrid models of gene regulatory networks – a PDE approach. (English) Zbl 1412.35344 Math. Biosci. 305, 170-177 (2018). MSC: 35Q92 65C40 35R30 92D10 PDF BibTeX XML Cite \textit{P. Kurasov} et al., Math. Biosci. 305, 170--177 (2018; Zbl 1412.35344) Full Text: DOI arXiv
Mugnolo, Delio Dynamical systems associated with adjacency matrices. (English) Zbl 06932817 Discrete Contin. Dyn. Syst., Ser. B 23, No. 5, 1945-1973 (2018). MSC: 47D06 05C50 39A12 PDF BibTeX XML Cite \textit{D. Mugnolo}, Discrete Contin. Dyn. Syst., Ser. B 23, No. 5, 1945--1973 (2018; Zbl 06932817) Full Text: DOI arXiv Backlinks: MO
Mugnolo, Delio; Noja, Diego; Seifert, Christian Airy-type evolution equations on star graphs. (English) Zbl 06881629 Anal. PDE 11, No. 7, 1625-1652 (2018). MSC: 47B25 81Q35 35Q53 PDF BibTeX XML Cite \textit{D. Mugnolo} et al., Anal. PDE 11, No. 7, 1625--1652 (2018; Zbl 06881629) Full Text: DOI arXiv
Kovařík, Hynek; Mugnolo, Delio Heat kernel estimates for Schrödinger operators on exterior domains with Robin boundary conditions. (English) Zbl 1394.47044 Potential Anal. 48, No. 2, 159-180 (2018). MSC: 47D08 35P05 35J10 PDF BibTeX XML Cite \textit{H. Kovařík} and \textit{D. Mugnolo}, Potential Anal. 48, No. 2, 159--180 (2018; Zbl 1394.47044) Full Text: DOI arXiv
Berkolaiko, Gregory; Kennedy, James B.; Kurasov, Pavel; Mugnolo, Delio Edge connectivity and the spectral gap of combinatorial and quantum graphs. (English) Zbl 1456.81193 J. Phys. A, Math. Theor. 50, No. 36, Article ID 365201, 29 p. (2017). MSC: 81Q35 05E30 35J05 34B24 35P05 PDF BibTeX XML Cite \textit{G. Berkolaiko} et al., J. Phys. A, Math. Theor. 50, No. 36, Article ID 365201, 29 p. (2017; Zbl 1456.81193) Full Text: DOI arXiv
Keller, Matthias; Mugnolo, Delio General Cheeger inequalities for \(p\)-Laplacians on graphs. (English) Zbl 1348.05126 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 147, 80-95 (2016). MSC: 05C50 PDF BibTeX XML Cite \textit{M. Keller} and \textit{D. Mugnolo}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 147, 80--95 (2016; Zbl 1348.05126) Full Text: DOI arXiv
Kennedy, James B.; Kurasov, Pavel; Malenová, Gabriela; Mugnolo, Delio On the spectral gap of a quantum graph. (English) Zbl 1354.34057 Ann. Henri Poincaré 17, No. 9, 2439-2473 (2016). Reviewer: Mihai Pascu (Bucureşti) MSC: 34B45 34L15 PDF BibTeX XML Cite \textit{J. B. Kennedy} et al., Ann. Henri Poincaré 17, No. 9, 2439--2473 (2016; Zbl 1354.34057) Full Text: DOI arXiv
Hein, Matthias (ed.); Lenz, Daniel (ed.); Mugnolo, Delio (ed.) Mini-workshop: Discrete \(p\)-Laplacians: spectral theory and variational methods in mathematics and computer science. Abstracts from the mini-workshop held February 8–14, 2015. (English) Zbl 1349.00186 Oberwolfach Rep. 12, No. 1, 399-447 (2015). MSC: 00B05 00B25 47-06 05-06 47B39 05C63 60J20 94A08 PDF BibTeX XML Cite \textit{M. Hein} (ed.) et al., Oberwolfach Rep. 12, No. 1, 399--447 (2015; Zbl 1349.00186) Full Text: DOI
Dall’Acqua, Anna; Mugnolo, Delio; Schelling, Michael A new Gershgorin-type result for the localisation of the spectrum of matrices. (English) Zbl 1330.47009 Math. Nachr. 288, No. 17-18, 1981-1994 (2015). MSC: 47A10 15A42 PDF BibTeX XML Cite \textit{A. Dall'Acqua} et al., Math. Nachr. 288, No. 17--18, 1981--1994 (2015; Zbl 1330.47009) Full Text: DOI arXiv
Mugnolo, Delio Some remarks on the Krein-von Neumann extension of different Laplacians. (English) Zbl 1343.47031 Banasiak, Jacek (ed.) et al., Semigroups of operators – theory and applications. Selected papers based on the presentations at the conference, Bȩdlewo, Poland, October 6–10, 2013. Cham: Springer (ISBN 978-3-319-12144-4/hbk; 978-3-319-12145-1/ebook). Springer Proceedings in Mathematics & Statistics 113, 69-87 (2015). Reviewer: Michael Perelmuter (Kyïv) MSC: 47B25 35J05 PDF BibTeX XML Cite \textit{D. Mugnolo}, Springer Proc. Math. Stat. 113, 69--87 (2015; Zbl 1343.47031) Full Text: DOI arXiv
Bonaccorsi, S.; Ottaviano, S.; Mugnolo, D.; de Pellegrini, F. Epidemic outbreaks in networks with equitable or almost-equitable partitions. (English) Zbl 1325.05172 SIAM J. Appl. Math. 75, No. 6, 2421-2443 (2015). MSC: 05C90 05C82 82C20 34A34 34D23 92D30 PDF BibTeX XML Cite \textit{S. Bonaccorsi} et al., SIAM J. Appl. Math. 75, No. 6, 2421--2443 (2015; Zbl 1325.05172) Full Text: DOI arXiv Link
Hua, Bobo; Mugnolo, Delio Time regularity and long-time behavior of parabolic \(p\)-Laplace equations on infinite graphs. (English) Zbl 1323.39005 J. Differ. Equations 259, No. 11, 6162-6190 (2015). MSC: 39A12 35K92 39A10 47H20 05C63 PDF BibTeX XML Cite \textit{B. Hua} and \textit{D. Mugnolo}, J. Differ. Equations 259, No. 11, 6162--6190 (2015; Zbl 1323.39005) Full Text: DOI arXiv
Mugnolo, Delio (ed.) Mathematical technology of networks. Bielefeld, December 2013. Selected papers based on the presentations at the conference, Bielefeld, Germany, December 4–7, 2013. (English) Zbl 1342.94006 Springer Proceedings in Mathematics & Statistics 128. Cham: Springer (ISBN 978-3-319-16618-6/hbk; 978-3-319-16619-3/ebook). viii, 205 p. (2015). MSC: 94-06 94C99 05C90 00B25 PDF BibTeX XML Cite \textit{D. Mugnolo} (ed.), Mathematical technology of networks. Bielefeld, December 2013. Selected papers based on the presentations at the conference, Bielefeld, Germany, December 4--7, 2013. Cham: Springer (2015; Zbl 1342.94006) Full Text: DOI
Mugnolo, Delio; Nicaise, Serge The heat equation under conditions on the moments in higher dimensions. (English) Zbl 1322.47039 Math. Nachr. 288, No. 2-3, 295-308 (2015). Reviewer: Vincenzo Vespri (Firenze) MSC: 47D06 35J20 35K05 PDF BibTeX XML Cite \textit{D. Mugnolo} and \textit{S. Nicaise}, Math. Nachr. 288, No. 2--3, 295--308 (2015; Zbl 1322.47039) Full Text: DOI arXiv
Mugnolo, Delio Asymptotics of semigroups generated by operator matrices. (English) Zbl 1329.47041 Arab. J. Math. 3, No. 4, 419-435 (2014). Reviewer: Norbert Youmbi (Loretto) MSC: 47D06 PDF BibTeX XML Cite \textit{D. Mugnolo}, Arab. J. Math. 3, No. 4, 419--435 (2014; Zbl 1329.47041) Full Text: DOI arXiv
Mugnolo, Delio; Rault, Jean-François Construction of exact travelling waves for the Benjamin-Bona-Mahony equation on networks. (English) Zbl 1315.35052 Bull. Belg. Math. Soc. - Simon Stevin 21, No. 3, 415-436 (2014). Reviewer: Bixiang Wang (Socorro) MSC: 35C07 35R02 35K55 PDF BibTeX XML Cite \textit{D. Mugnolo} and \textit{J.-F. Rault}, Bull. Belg. Math. Soc. - Simon Stevin 21, No. 3, 415--436 (2014; Zbl 1315.35052) Full Text: arXiv Euclid
Mugnolo, Delio; Nicaise, Serge Diffusion processes on an interval under linear moment conditions. (English) Zbl 1295.35244 Semigroup Forum 88, No. 2, 479-511 (2014). MSC: 35K20 35B40 PDF BibTeX XML Cite \textit{D. Mugnolo} and \textit{S. Nicaise}, Semigroup Forum 88, No. 2, 479--511 (2014; Zbl 1295.35244) Full Text: DOI arXiv
Mugnolo, Delio; Nicaise, Serge Well-posedness and spectral properties of heat and wave equations with non-local conditions. (English) Zbl 1298.47056 J. Differ. Equations 256, No. 7, 2115-2151 (2014). Reviewer: Vincenzo Vespri (Firenze) MSC: 47D06 35J20 34B10 PDF BibTeX XML Cite \textit{D. Mugnolo} and \textit{S. Nicaise}, J. Differ. Equations 256, No. 7, 2115--2151 (2014; Zbl 1298.47056) Full Text: DOI arXiv
Mugnolo, Delio Semigroup methods for evolution equations on networks. (English) Zbl 1306.47001 Understanding Complex Systems. Cham: Springer (ISBN 978-3-319-04620-4/hbk; 978-3-319-04621-1/ebook). xv, 286 p. (2014). Reviewer: Marjeta Kramar Fijavž (Ljubljana) MSC: 47-01 47-00 47D06 35R02 05C90 PDF BibTeX XML Cite \textit{D. Mugnolo}, Semigroup methods for evolution equations on networks. Cham: Springer (2014; Zbl 1306.47001) Full Text: DOI
Bobrowski, Adam; Mugnolo, Delio On moments-preserving cosine families and semigroups in \(C[0, 1]\). (English) Zbl 1305.47030 J. Evol. Equ. 13, No. 4, 715-735 (2013). Reviewer: Nikita V. Artamonov (Moskva) MSC: 47D09 47D06 PDF BibTeX XML Cite \textit{A. Bobrowski} and \textit{D. Mugnolo}, J. Evol. Equ. 13, No. 4, 715--735 (2013; Zbl 1305.47030) Full Text: DOI arXiv
von Below, Joachim; Mugnolo, Delio The spectrum of the Hilbert space valued second derivative with general self-adjoint boundary conditions. (English) Zbl 1322.34048 Linear Algebra Appl. 439, No. 7, 1792-1814 (2013). Reviewer: Bruce A. Watson (Wits) MSC: 34B45 34A55 PDF BibTeX XML Cite \textit{J. von Below} and \textit{D. Mugnolo}, Linear Algebra Appl. 439, No. 7, 1792--1814 (2013; Zbl 1322.34048) Full Text: DOI arXiv
Mugnolo, Delio; Nittka, Robin; Post, Olaf Norm convergence of sectorial operators on varying Hilbert spaces. (English) Zbl 1305.47015 Oper. Matrices 7, No. 4, 955-995 (2013). Reviewer: Dorothee Frey (Nantes) MSC: 47A58 34B45 47D06 35P05 PDF BibTeX XML Cite \textit{D. Mugnolo} et al., Oper. Matrices 7, No. 4, 955--995 (2013; Zbl 1305.47015) Full Text: DOI arXiv Link
Mugnolo, Delio Parabolic theory of the discrete \(p\)-Laplace operator. (English) Zbl 1285.39004 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 87, 33-60 (2013). Reviewer: Zhenlai Han (Jinan) MSC: 39A12 47H20 05C50 35K92 35K05 35R11 PDF BibTeX XML Cite \textit{D. Mugnolo}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 87, 33--60 (2013; Zbl 1285.39004) Full Text: DOI arXiv
Hussein, Amru; Mugnolo, Delio Quantum graphs with mixed dynamics: the transport/diffusion case. (English) Zbl 1269.81048 J. Phys. A, Math. Theor. 46, No. 23, Article ID 235202, 19 p. (2013). MSC: 81Q35 34B45 47D06 47N50 PDF BibTeX XML Cite \textit{A. Hussein} and \textit{D. Mugnolo}, J. Phys. A, Math. Theor. 46, No. 23, Article ID 235202, 19 p. (2013; Zbl 1269.81048) Full Text: DOI arXiv
Mugnolo, Delio A Frucht theorem for quantum graphs. (English) Zbl 1254.05076 Arendt, Wolfgang (ed.) et al., Spectral theory, mathematical system theory, evolution equations, differential and difference equations. Selected papers of 21st international workshop on operator theory and applications, IWOTA10, Berlin, Germany, July 12–16, 2010. Basel: Birkhäuser (ISBN 978-3-0348-0296-3/hbk; 978-3-0348-0297-0/ebook). Operator Theory: Advances and Applications 221, 481-490 (2012). MSC: 05C25 35B06 81Q35 20B30 PDF BibTeX XML Cite \textit{D. Mugnolo}, Oper. Theory: Adv. Appl. 221, 481--490 (2012; Zbl 1254.05076) Full Text: DOI arXiv
Mugnolo, Delio; Nittka, Robin Convergence of operator semigroups associated with generalised elliptic forms. (English) Zbl 1268.47001 J. Evol. Equ. 12, No. 3, 593-619 (2012). Reviewer: Hector O. Fattorini (Los Angeles) MSC: 47-02 47D06 47B10 47A55 PDF BibTeX XML Cite \textit{D. Mugnolo} and \textit{R. Nittka}, J. Evol. Equ. 12, No. 3, 593--619 (2012; Zbl 1268.47001) Full Text: DOI arXiv
Mugnolo, Delio; Pröpper, René Gradient systems on networks. (English) Zbl 1306.35058 Discrete Contin. Dyn. Syst. 2011, Suppl., 1078-1090 (2011). MSC: 35K51 35R02 47H20 PDF BibTeX XML Cite \textit{D. Mugnolo} and \textit{R. Pröpper}, Discrete Contin. Dyn. Syst. 2011, 1078--1090 (2011; Zbl 1306.35058) Full Text: arXiv Link
Mugnolo, Delio Damped wave equations with dynamic boundary conditions. (English) Zbl 1276.47056 J. Appl. Anal. 17, No. 2, 241-275 (2011). MSC: 47D06 47H20 35L20 PDF BibTeX XML Cite \textit{D. Mugnolo}, J. Appl. Anal. 17, No. 2, 241--275 (2011; Zbl 1276.47056) Full Text: DOI arXiv
Mugnolo, Delio; Rhandi, Abdelaziz On the domain of a Fleming–Viot-type operator on an \(L^p\)-space with invariant measure. (English) Zbl 1263.47052 Note Mat. 31, No. 1, 139-148 (2011). Reviewer: Wilfried Hazod (Dortmund) MSC: 47D07 60J35 35J15 35J70 PDF BibTeX XML Cite \textit{D. Mugnolo} and \textit{A. Rhandi}, Note Mat. 31, No. 1, 139--148 (2011; Zbl 1263.47052) Full Text: Link
Mugnolo, Delio; Nittka, Robin Properties of representations of operators acting between spaces of vector-valued functions. (English) Zbl 1237.46032 Positivity 15, No. 1, 135-154 (2011). Reviewer: Enrique Alfonso Sánchez-Pérez (València) MSC: 46G10 47B34 46E40 47B65 PDF BibTeX XML Cite \textit{D. Mugnolo} and \textit{R. Nittka}, Positivity 15, No. 1, 135--154 (2011; Zbl 1237.46032) Full Text: DOI arXiv
Mugnolo, Delio Vector-valued heat equations and networks with coupled dynamic boundary conditions. (English) Zbl 1226.47046 Adv. Differ. Equ. 15, No. 11-12, 1125-1160 (2010). Reviewer: Vincenzo Vespri (Firenze) MSC: 47D06 35J57 35J99 35K90 35K99 PDF BibTeX XML Cite \textit{D. Mugnolo}, Adv. Differ. Equ. 15, No. 11--12, 1125--1160 (2010; Zbl 1226.47046) Full Text: arXiv
Bonaccorsi, Stefano; Mugnolo, Delio Existence of strong solutions for neuronal network dynamics driven by fractional Brownian motions. (English) Zbl 1208.60061 Stoch. Dyn. 10, No. 3, 441-464 (2010). MSC: 60H15 34B45 47D07 37L40 PDF BibTeX XML Cite \textit{S. Bonaccorsi} and \textit{D. Mugnolo}, Stoch. Dyn. 10, No. 3, 441--464 (2010; Zbl 1208.60061) Full Text: DOI arXiv
Cardanobile, Stefano; Mugnolo, Delio Toward a gauge theory for evolution equations on vector-valued spaces. (English) Zbl 1283.35005 J. Math. Phys. 50, No. 10, 103520, 11 p. (2009). MSC: 35A30 81Q05 PDF BibTeX XML Cite \textit{S. Cardanobile} and \textit{D. Mugnolo}, J. Math. Phys. 50, No. 10, 103520, 11 p. (2009; Zbl 1283.35005) Full Text: DOI arXiv
Cardanobile, Stefano; Mugnolo, Delio Parabolic systems with coupled boundary conditions. (English) Zbl 1207.35180 J. Differ. Equations 247, No. 4, 1229-1248 (2009). Reviewer: Pigong Han (Beijing, China) MSC: 35K51 47D06 46G10 35R20 PDF BibTeX XML Cite \textit{S. Cardanobile} and \textit{D. Mugnolo}, J. Differ. Equations 247, No. 4, 1229--1248 (2009; Zbl 1207.35180) Full Text: DOI arXiv
Cardanobile, Stefano; Cohen, Michael; Corchs, Silvia; Mugnolo, Delio; Neumann, Heiko Investigation of input-output gain in dynamical systems for neural information processing. (English) Zbl 1165.92003 Arendt, Wolfgang (ed.) et al., Mathematical analysis of evolution, information, and complexity. Weinheim: Wiley-VCH (ISBN 978-3-527-40830-6/hbk). 379-393 (2009). MSC: 92C20 34C60 37N25 PDF BibTeX XML Cite \textit{S. Cardanobile} et al., in: Mathematical analysis of evolution, information, and complexity. Weinheim: Wiley-VCH. 379--393 (2009; Zbl 1165.92003)
Bolte, Jens; Cardanobile, Stefano; Mugnolo, Delio; Nittka, Robin Symmetries in quantum graphs. (English) Zbl 1171.81392 Arendt, Wolfgang (ed.) et al., Mathematical analysis of evolution, information, and complexity. Weinheim: Wiley-VCH (ISBN 978-3-527-40830-6/hbk). 181-196 (2009). MSC: 81R05 70H33 05C25 PDF BibTeX XML Cite \textit{J. Bolte} et al., in: Mathematical analysis of evolution, information, and complexity. Weinheim: Wiley-VCH. 181--196 (2009; Zbl 1171.81392)
Cardanobile, Stefano; Markert, Heiner; Mugnolo, Delio; Palm, Günther; Schwenker, Friedhelm Relating simulation and modeling of neural networks. (English) Zbl 1165.92004 Arendt, Wolfgang (ed.) et al., Mathematical analysis of evolution, information, and complexity. Weinheim: Wiley-VCH (ISBN 978-3-527-40830-6/hbk). 137-155 (2009). MSC: 92C20 92B20 PDF BibTeX XML Cite \textit{S. Cardanobile} et al., in: Mathematical analysis of evolution, information, and complexity. Weinheim: Wiley-VCH. 137--155 (2009; Zbl 1165.92004)
Cardanobile, Stefano; Mugnolo, Delio Qualitative properties of coupled parabolic systems of evolution equations. (English) Zbl 1179.35181 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 7, No. 2, 287-312 (2008). Reviewer: Vincenzo Vespri (Firenze) MSC: 35K90 47D09 PDF BibTeX XML Cite \textit{S. Cardanobile} and \textit{D. Mugnolo}, Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 7, No. 2, 287--312 (2008; Zbl 1179.35181) Full Text: DOI arXiv
Mugnolo, Delio A variational approach to strongly damped wave equations. (English) Zbl 1171.35439 Amann, Herbert (ed.) et al., Functional analysis and evolution equations. The Günter Lumer volume. Basel: Birkhäuser (ISBN 978-3-7643-7793-9/hbk). 503-514 (2008). Reviewer: Cheng-Hsiung Hsu (Chung-Li) MSC: 35L90 34G10 47D09 35L15 PDF BibTeX XML Cite \textit{D. Mugnolo}, in: Functional analysis and evolution equations. The Günter Lumer volume. Basel: Birkhäuser. 503--514 (2008; Zbl 1171.35439) Full Text: arXiv
Cardanobile, Stefano; Mugnolo, Delio; Nittka, Robin Well-posedness and symmetries of strongly coupled network equations. (English) Zbl 1132.35389 J. Phys. A, Math. Theor. 41, No. 5, Article ID 055102, 28 p. (2008). MSC: 35K45 70S10 47D06 PDF BibTeX XML Cite \textit{S. Cardanobile} et al., J. Phys. A, Math. Theor. 41, No. 5, Article ID 055102, 28 p. (2008; Zbl 1132.35389) Full Text: DOI arXiv
Mugnolo, Delio Gaussian estimates for a heat equation on a network. (English) Zbl 1142.35349 Netw. Heterog. Media 2, No. 1, 55-79 (2007). MSC: 35B45 47D06 35K20 35C15 35K55 PDF BibTeX XML Cite \textit{D. Mugnolo}, Netw. Heterog. Media 2, No. 1, 55--79 (2007; Zbl 1142.35349) Full Text: DOI arXiv
Cardanobile, Stefano; Mugnolo, Delio Analysis of a Fitzhugh-Nagumo-Rall model of a neuronal network. (English) Zbl 1195.92007 Math. Methods Appl. Sci. 30, No. 18, 2281-2308 (2007). MSC: 92C20 35Q92 47N60 47D03 PDF BibTeX XML Cite \textit{S. Cardanobile} and \textit{D. Mugnolo}, Math. Methods Appl. Sci. 30, No. 18, 2281--2308 (2007; Zbl 1195.92007) Full Text: DOI
Kramar Fijavž, Marjeta; Mugnolo, Delio; Sikolya, Eszter Variational and semigroup methods for waves and diffusion in networks. (English) Zbl 1121.34035 Appl. Math. Optimization 55, No. 2, 219-240 (2007). MSC: 34B40 47D06 47D09 PDF BibTeX XML Cite \textit{M. Kramar Fijavž} et al., Appl. Math. Optim. 55, No. 2, 219--240 (2007; Zbl 1121.34035) Full Text: DOI arXiv
Mugnolo, Delio; Romanelli, Silvia Dynamic and generalized Wentzell node conditions for network equations. (English) Zbl 1163.34039 Math. Methods Appl. Sci. 30, No. 6, 681-706 (2007). Reviewer: Marjeta Kramar Fijavž (Ljubljana) MSC: 34G10 47D06 92B20 47N70 34B45 PDF BibTeX XML Cite \textit{D. Mugnolo} and \textit{S. Romanelli}, Math. Methods Appl. Sci. 30, No. 6, 681--706 (2007; Zbl 1163.34039) Full Text: DOI
Mugnolo, Delio; Romanelli, Silvia Dirichlet forms for general Wentzell boundary conditions, analytic semigroups, and cosine operator functions. (English) Zbl 1117.47036 Electron. J. Differ. Equ. 2006, Paper No. 118, 20 p. (2006). MSC: 47F05 47D09 35J20 35J25 35J15 31C25 47D07 PDF BibTeX XML Cite \textit{D. Mugnolo} and \textit{S. Romanelli}, Electron. J. Differ. Equ. 2006, Paper No. 118, 20 p. (2006; Zbl 1117.47036) Full Text: EuDML EMIS
Mugnolo, Delio Matrix methods for wave equations. (English) Zbl 1112.47036 Math. Z. 253, No. 4, 667-680 (2006). Reviewer: Hector O. Fattorini (Los Angeles) MSC: 47D09 35L05 35L20 47N20 PDF BibTeX XML Cite \textit{D. Mugnolo}, Math. Z. 253, No. 4, 667--680 (2006; Zbl 1112.47036) Full Text: DOI arXiv
Mugnolo, Delio Operator matrices as generators of cosine operator functions. (English) Zbl 1112.47035 Integral Equations Oper. Theory 54, No. 3, 441-464 (2006). Reviewer: Pedro José Miana (Zaragoza) MSC: 47D09 47D03 47H20 34G10 35L20 PDF BibTeX XML Cite \textit{D. Mugnolo}, Integral Equations Oper. Theory 54, No. 3, 441--464 (2006; Zbl 1112.47035) Full Text: DOI arXiv
Mugnolo, Delio Abstract wave equations with acoustic boundary conditions. (English) Zbl 1109.47035 Math. Nachr. 279, No. 3, 299-318 (2006). Reviewer: Vesa Mustonen (Oulu) MSC: 47D06 47H20 37N20 35L20 35L05 34G10 35B30 35P05 PDF BibTeX XML Cite \textit{D. Mugnolo}, Math. Nachr. 279, No. 3, 299--318 (2006; Zbl 1109.47035) Full Text: DOI arXiv
Mugnolo, Delio A semigroup analogue of the Fonf–Lin–Wojtaszczyk ergodic characterization of reflexive Banach spaces with a basis. (English) Zbl 1067.47011 Stud. Math. 164, No. 3, 243-251 (2004). Reviewer: Farruh Mukhamedov (Tashkent) MSC: 47A35 47D03 PDF BibTeX XML Cite \textit{D. Mugnolo}, Stud. Math. 164, No. 3, 243--251 (2004; Zbl 1067.47011) Full Text: DOI
Kramar, Marjeta; Mugnolo, Delio; Nagel, Rainer Semigroups for initial-boundary value problems. (English) Zbl 1056.47028 Iannelli, Mimmo (ed.) et al., Evolution equations: applications to physics, industry, life sciences and economics. Proceedings of the 7th international conference on evolution equations and their applications, EVEQ2000 conference, Levico Terme, Italy, October 30–November 4, 2000. Basel: Birkhäuser (ISBN 3-7643-0374-3/hbk). Prog. Nonlinear Differ. Equ. Appl. 55, 275-292 (2003). Reviewer: Andras Batkai (Roma) MSC: 47D06 PDF BibTeX XML Cite \textit{M. Kramar} et al., Prog. Nonlinear Differ. Equ. Appl. 55, 275--292 (2003; Zbl 1056.47028)