Last update: June, 2023
Associate Professor at the Department of Mathematics, University of Bari.
Master Degree in Mathematics, full mark (2004). University of Bari.
Ph.D., with grant, in Mathematics, Curriculum Mathematical Analysis, full mark (2008). University of Bari.
Habilitation as Full Professor of Mathematical Analysis, Probability and Statistics (2020). Italy.
Special Mention for Young Scientists, given by International Society for Analysis, its Applications and Computation (ISAAC), during the 10th ISAAC Congress, Macau, 3-8 August, 2015.
Researchgate (obsolete)
Professor for the course of "Istituzioni di Analisi Superiore", University of Bari, Department of Mathematics, 2019-today, master degree in "Mathematics".
Professor for the course of "Fourier Analysis and Partial Differential Equations", University of Bari, Department of Mathematics, 2019-today, master degree in "Mathematics".
Professor for the course of "Functional Analysis", University of Bari, Department of Mathematics, 2021-today, bachelor degree in "Mathematics"
Professor for the course of "Matematica", University of Bari, Department of Pharmacy, master degree in "Chimica e Tecnologie Farmaceutiche", 2015--today.
Post-doc at University of Freiberg, Germany (2009-10), funded by University of Bari.
Post-doc Research Fellowship "Linear and Nonlinear Hyperbolic Systems" (2010-12). University of Bari.
Principal Investigator of the Research Project “Influence of time-dependent coefficients on semi-linear wave models” (2011-12), funded from Germany Research Foundation (DFG).
Post-doc Research Fellowship "Free boundary problems for hyperbolic conservation laws" (2012-13). University of Brescia.
Principal Investigator for the Project “Soluções globais para equações de onda semi-lineares com coeficientes variáveis” (2013), funded by São Paulo Research Foundation (FAPESP).
Researcher for the Project “Modelli matematici discontinui per l’analisi delle reti di geni: Applicazione al diabete” (2013), funded by Fondazione Cassa di Risparmio di Puglia.
Young Investigator with Young Scientist Fellowship - São Paulo Research Foundation (FAPESP). Project "Decay Estimates for semilinear hyperbolic equations". Affiliation: Faculty of Philosophy, Sciences and Literature of Ribeirão Preto, University of São Paulo. Department of Mathematics and Computer Science.
Principal Investigator for the Project "A priori estimates for semilinear equations" (2016), funded by Agência USP de Cooperação Acadêmica Nacional e Internacional (AUCANI)
Principal Investigator for the Project INdAM - GNAMPA 2016, 2017, and 2022.
Principal Investigator of the project "Mathematical Models with fractional Laplacian and Nonlinear Memory for the glucose-insulin system: applications to diabetes and metabolic syndrome" in the framework of the program "Future in Research 2013" from Regione Puglia, at University of Bari, Department of Mathematics (February-November 2016)
Participation to many international conferences and workshop, as contributed or invited speaker.
Member of Organizing Commitee of IperBA09, XII National Meeting on hyperbolic-type problems, Bari 2009.
Organizer of the congress “PDE in Bari”, 1-2 February, 2018, Bari.
Organizer of the congress “Modern Aspects of PDE”, 23-24 June, 2022, Bari.
Member of the Commitee for the "Special Session on Recent Progress in Evolution Equations", 10th ISAAC Congress, Macau 2015; 11th ISAAC Congress, Vaxjo 2017; 12th ISAAC Congress, Aveiro 2019, 13th ISAAC Congress, Ghent 2021, 14th ISAAC Congress, Ribeirao Preto 2023
D’ABBICCO M., “The Threshold of Effective Damping for Semilinear Wave Equations”, Mathematical Methods in Applied Sciences, 38, 2015, 1032--1045, ISSN: 0170-4214; http://dx.doi.org/10.1002/mma.3126, FREE VIEW
D’ABBICCO M., “Asymptotics for damped evolution operators with mass-like terms”, Contemporary Mathematics, 653, 2015, 93--116, ISSN:0271-4132, http://dx.doi.org/10.1090/conm/653/13181
D’ABBICCO M., “A benefit from the L∞ smallness of initial data for the semilinear wave equation with structural damping”, 2015, 209--216, in Current Trends in Analysis and its Applications (series: Trends in Mathematics), Proceedings of the 9th ISAAC Congress, Krakow. Eds V. Mityushev and M. Ruzhansky, Birkhäuser Basel; ISBN 978-3-319-12576-3; LINK
D’ABBICCO M., “A note on weakly coupled systems of structurally damped waves”, Discrete and Continuous Dynamical Systems, AIMS proceedings, 2015, 320--329, ISSN 1078-0947, http://dx.doi.org/10.3934/proc.2015.0320
D’ABBICCO M., LUCENTE S., “NLWE with a special scale-invariant damping in odd space dimension”, Discrete and Continuous Dynamical Systems, AIMS Proceedings, 2015, 312--319, ISSN 1078-0947, http://dx.doi.org/10.3934/proc.2015.0312
D’ABBICCO M., LUCENTE S., REISSIG M. “A shift in the Strauss exponent for semilinear wave equations with a not effective damping”, Journal of Differential Equations, 259, 2015, 5040--5073, ISSN: 0022-0396; http://dx.doi.org/10.1016/j.jde.2015.06.018
BERARDI M., D'ABBICCO M., "A critical case for the spiral stability for 2x2 discontinuous systems and an application to Recursive Neural Networks", Mediterranean Journal of Mathematics 13 (6), 2016, 4829--4844; http://dx.doi.org/10.1007/s00009-016-0778-5
CATANIA D., D'ABBICCO M., SECCHI P., "Weak Stability of the Plasma-Vacuum Interface Problem", Journal of Differential Equations 261 (6), 2016, 3169–3219, ISSN: 0022-0396; http://dx.doi.org/10.1016/j.jde.2016.05.023
D’ABBICCO M., CHÃRAO R.C., DA LUZ C.R., “Sharp time decay rates on a hyperbolic plate model under effects of an intermediate damping with a time-dependent coefficient”, Discrete and Continuous Dynamical Systems A, 36, n.5, 2016, 2419--2447; ISSN: 0170-4214, http://dx.doi.org/10.3934/dcds.2016.36.2419
D’ABBICCO M., DEL BUONO N., GENA P., BERARDI M., CALAMITA G., LOPEZ L. “A model for the hepatic glucose metabolism based on Hill and step functions”, Journal of Computational and Applied Mathematics, 292, 2016, 746--759, ISSN: 0377-0427, http://dx.doi.org/10.1016/j.cam.2015.01.036
D’ABBICCO M., EBERT M.R., “A classification of structural dissipations for evolution operators”, Mathematical Methods in the Applied Sciences, 39, 2016, 2558--2582, ISSN: 0170-4214; http://dx.doi.org/10.1002/mma.3713, FREE VIEW
D'ABBICCO M., EBERT M.R., PICON T., "Long time decay estimates in real Hardy spaces for evolution equations with structural dissipation", Journal of Pseudo-differential Operators and Applications,7 (2) 2016, 261--293, ISSN: 1662-9981; http://dx.doi.org/10.1007/s11868-015-0141-9
D’ABBICCO M., JANNELLI E., “A damping term for higher order hyperbolic equations”, Annali di Matematica Pura e Applicata, 195 n.2, 2016, 557--570, ISSN: 0373-3114, http://dx.doi.org/10.1007/s10231-015-0477-z
D’ABBICCO M., LUCENTE S., "The beam equation with nonlinear memory", June 2016, 67:60, Zeitschrift für angewandte Mathematik und Physik; ISSN: 0044-2275, http://dx.doi.org/10.1007/s00033-016-0655-x; FREE VIEW LINK: https://rdcu.be/7nxY
GENA P., DEL BUONO N., D'ABBICCO M., MASTRODONATO M., BERARDI M., SVELTO M., LOPEZ L., CALAMITA G., "Dynamical modeling of liver Aquaporin-9 expression and glycerol permeability in hepatic glucose metabolism", European Journal of Cell Biology, 2016, http://dx.doi.org/10.1016/j.ejcb.2016.12.003
D'ABBICCO M., "L1-L1 estimates for a doubly dissipative semilinear wave equation", Nonlinear Differential Equations and Applications NoDEA, 24 (1) 2017, Article: 5, http://dx.doi.org/10.1007/s00030-016-0428-4, FREE VIEW
D'ABBICCO M., EBERT M.R., "A new phenomenon in the critical exponent for structurally damped semi-linear evolution equations", Nonlinear Analysis 149, 2017, 1--40; http://dx.doi.org/10.1016/j.na.2016.10.010
D'ABBICCO M., EBERT M.R., LUCENTE S., "Self-similar asymptotic profile of the solution to a nonlinear evolution equation with critical dissipation", Mathematical Methods in the Applied Sciences, 40 (18) 2017, 6480--6494; http://dx.doi.org/10.1002/mma.4469, FREE VIEW
D'ABBICCO M., EBERT M.R., PICON T., "Global Existence of Small Data Solutions to the Semilinear Fractional Wave Equation", to appear in New Trends in Analysis and Interdisciplinary Applications, Pei Dang et alter (eds), Trends in Mathematics, Springer International Publishing AG, 2017, http://dx.doi.org/10.1007/978-3-319-48812-7_59.
D'ABBICCO M., JANNELLI E., "Dissipative Higher Order Equations", Communications in Partial Differential Equations, 42 (11) 2017, 1682--1706; http://dx.doi.org/10.1080/03605302.2017.1390674
D'ABBICCO M., GIRARDI G., REISSIG M., "A scale of critical exponents for semilinear waves with time-dependent damping and mass terms", Nonlinear Analysis 179, 2019, 15--40; https://doi.org/10.1016/j.na.2018.08.006
D'ABBICCO M., "Critical Exponents for Differential Inequalities with Riemann-Liouville and Caputo Fractional Derivatives", New Tools for Nonlinear PDEs and Application, 49--95, series Trends in Mathematics, Editors: D'Abbicco, M., Ebert, M.R., Georgiev, V., Ozawa, T. (Eds.), Birkhauser 2019; https://www.springer.com/jp/book/9783030109363
D'ABBICCO M., "Self-similar Asymptotic Profile for a Damped Evolution Equation", Analysis, Probability, Applications, and Computation, 297-303, series Research Perspectives, Editors: Lindahl, K., Lindström, T., Rodino, L.G., Toft, J., Wahlberg, P. , Birkhauser 2019; https://www.springer.com/gp/book/9783030044589
D'ABBICCO M., EBERT M.R., PICON T., "The critical exponent(s) for the semilinear fractional diffusive equation", Journal of Fourier Analysis and Applications, 25 (3), 2019, 696--731, http://dx.doi.org/10.1007/s00041-018-9627-1.
D'ABBICCO M., GIRARDI G., LIANG J., "L1-L1 estimates for the strongly damped plate equation", Journal of Mathematical Analysis and Applications, 478 (2), 2019, 476--498, https://doi.org/10.1016/j.jmaa.2019.05.039
D'ABBICCO M., IKEHATA R., TAKEDA H., "Critical exponent for semi-linear wave equations with double damping terms in exterior domains", Nonlinear Differential Equations and Applications NoDEA, , 26 (56), 2019, https://doi.org/10.1007/s00030-019-0603-5
D'ABBICCO M., IKEHATA R., "Asymptotic profile of solutions for strongly damped Klein-Gordon equations", Mathematical Methods in the Applied Sciences 24 (7), 2019, 2287--2301, http://dx.doi.org/10.1002/mma.5508
D'ABBICCO M., "Decay estimates and Gevrey smoothing for a strongly damped plate equation", In: Boggiatto P. et al. (eds) Advances in Microlocal and Time-Frequency Analysis, 2020, 169--180. Applied and Numerical Harmonic Analysis. Birkhäuser, Cham, https://doi.org/10.1007/978-3-030-36138-9_10
D'ABBICCO M., DE LUCA A., "Decay estimates for the double dispersion equation with initial data in real Hardy spaces", Journal of Pseudo-Differential Operators, J. Pseudo-Differ. Oper. Appl. 11, 2020, 363–386, https://doi.org/10.1007/s11868-019-00287-1, FREE VIEW
CHARAO R.C., D'ABBICCO M., IKEHATA R., "Asymptotic profiles for a wave equation with parameter-dependent logarithmic damping", Mathematical Methods in the Applied Sciences 2021, https://doi.org/10.1002/mma.7671
D'ABBICCO M., "A New Critical Exponent for the Heat and Damped Wave Equations with Nonlinear Memory and Not Integrable Data". In: Cicognani M., Del Santo D., Parmeggiani A., Reissig M. (eds) Anomalies in Partial Differential Equations. Springer INdAM Series, vol 43, 2021, 191-211. Springer, Cham. https://doi.org/10.1007/978-3-030-61346-4_9
D'ABBICCO M., "Small data solutions for the Euler-Poisson-Darboux equation with a power nonlinearity", J. Differential Equations 286 2021, 531-556 https://doi.org/10.1016/j.jde.2021.03.033
D'ABBICCO M., EBERT M.R., "Asymptotic profiles and critical exponents for a semilinear damped plate equation with time-dependent coefficients", Asymptotic Analysis, 123, 2021, 1–40, https://doi.org/10.3233/ASY-201624
D'ABBICCO M., EBERT M.R., "Lp-Lq estimates for a parameter-dependent multiplier with oscillatory and diffusive components", J. Mathematical Analysis and Applications 504 (2021), 1, 125393, https://doi.org/10.1016/j.jmaa.2021.125393
D'ABBICCO M., FUJIWARA K., "A test function method for evolution equations with fractional powers of the Laplace operator", Nonlinear Analysis 202, 2021, 112114, https://doi.org/10.1016/j.na.2020.112114
D'ABBICCO M., PALMIERI A., "A Note on Lp − Lq Estimates for Semilinear Critical Dissipative Klein–Gordon Equations", Journal of Dynamics and Differential Equations 33, 2021, 63--74, https://doi.org/10.1007/s10884-019-09818-2
CHEN, W., D'ABBICCO M., GIRARDI G., "Global small data solutions for semilinear waves with two dissipative terms", Annali Matematica Pura e Applicata 201, 2022, 2, 529--560 https://doi.org/10.1007/s10231-021-01128-z
D'ABBICCO M., EBERT M.R., "The critical exponent for semilinear sigma-evolution equations with a strong non-effective damping", Nonlinear Analysis 215, 2022, 112637, https://doi.org/10.1016/j.na.2021.112637
D'ABBICCO M., GIRARDI G., "Asymptotic profile for a two-terms time fractional diffusion problem", Fractional Calculus and Applied Analysis 25, 2022, 3, 1199--1228, https://doi.org/10.1007/s13540-022-00041-3
D'ABBICCO M., LONGEN L.G., "The interplay between fractional damping and nonlinear memory for the plate equation", Mathematical Methods in the Applied Sciences 45, 2022, 11, 6951--6981, https://doi.org/10.1002/mma.8219
D'ABBICCO M., "Global small data solutions for an evolution equation with structural damping and Hartree-type nonlinearity”, 2023, 563--575. Analysis, Applications, and Computations, 89140137, edited by Kähler et al., Springer, https://link.springer.com/chapter/10.1007/978-3-031-36375-7_43
D'ABBICCO M., GIRARDI G., "Decay estimates for a perturbed two terms space-time fractional diffusive problem", Evolution Equations and Control Theory 12, 2023, 4, 1056-1082, https://doi.org/10.3934/eect.2022060
D'ABBICCO M., GIRARDI G., "Second order p-evolution equations with critical nonlinearity", Bruno Pini Mathematical Analysis Seminar 14, 2023, 2, 263--280, https://dx.doi.org/10.6092/issn.2240-2829/18879
D'ABBICCO M., GIRARDI G., "A structurally damped 𝜎-evolution equation with nonlinear memory", Mathematical Methods in the Applied Sciences, 47, 2024, 13, 10872--10890, https://doi.org/10.1002/mma.6633