Papers and other works


The copyright for these articles belong to the respective journals.
If you need one of the following papers for personal purposes, send me an email sandra.lucente (at)

  1. S. Lucente,
    Nonlinear perturbed BLMP equation,
    In print on Proceedings of the 13th ISAAC Congress
  2. V. Georgiev, S. Lucente,
    Quasilinear wave equations with decaying time-potential,
    In print on Springer-INdAM series volume Qualitative Properties of Dispersive PDEs
  3. G. Girardi, S. Lucente,
    Lifespan estimates for a special quasilinear time-dependent damped wave equation,
    In print on Current Trends in Analysis, its Applications and Computation, Proceedings of the 12th ISAAC Congress, Aveiro, Portugal, 2019 – Session Recent Progress in Evolution Equations
  4. S. Lucente,
    Global existence for nonlinear scale invariant damped wave equations,
    Discrete Continuous Dynamical System, Series S. doi: 10.3934/dcdss.2021159
  5. W. Chen, S. Lucente, A. Palmieri
    Nonexistence of global solutions for generalized Tricomi equations with combined nonlinearity,
    Nonlinear Analysis Real World and Applications, 61 (2021) Article number 103354.
  6.  S. Lucente, A. Palmieri,
    A blow-up result for a generalized Tricomi equation with nonlinearity of derivative type,
    Milan J. Math. 89, (2021), 45-57.
  7. F. Chiarello, G. Girardi, S. Lucente,
    Fujita modified exponent for scale invariant damped semilinear wave equations, 
    Journal of Evolution Equations,  21 (2021), 2735-2748.
  8. S. Lucente,
    Large Data Solutions for Semilinear Higher Order Equations
    Discrete Continuous Dynamical System (Series S), 13 (2020), 3525-3533
  9. S. Lucente,
    Didactical note on classical function spaces and Fourier transform,
    Real Analysis Exchange,  44, Issue 01 (2019) 229-246
  10. S. Lucente,
    4D semilinear weakly hyperbolic wave equations,
    In: D’Abbicco M., Ebert M., Georgiev V., Ozawa T. (eds) New Tools for Nonlinear PDEs and Application. Trends in Mathematics. Birkhäuser, Cham 2019. pp. 241-261.
  11. S. Lucente, M. Marrone,
    A toy model of 4D semilinear weakly hyperbolic wave equations,
    In: Analysis, Probability, Applications, and Computation, Lindahl K., Lindström T., Rodino L., Toft J., Wahlberg P. (eds) Analysis, Probability, Applications, and Computation. Trends in Mathematics. Birkhäuser, Cham 2019. pp 349-358.
  12. V. Georgiev, S. Lucente,
    Breaking Symmetry in Focusing NLKG with Potential,
    Journal of Hyperbolic Differential Equations,  15, Issue 04 (2018) 755-788
  13. V. Georgiev, S. Lucente,
    Focusing KG Equation with Singular Potential,
    Communications on Pure and Applied Analysis 17 (2018), 1387-1406.
  14. M. D’Abbicco, M. Ebert, S. Lucente,
    Self-similar asymptotic profile of the solution to a nonlinear evolution equation with critical dissipation,
    Mathematical Methods in the Applied Sciences, 40,  Issue 18, (2017) 6480-6494
  15. M. D’Abbicco, S. Lucente,
    The beam equation with nonlinear memory,
    Zeitschrift fur Angewadte Mathematik und Physik, 67 Article 60 (2016) 1-18
  16. M. D’Abbicco, S. Lucente,
    NLWE with a Special Scale Invariant Damping in Odd Space Dimension,
    Dynamical Systems, Differential Equations and Applications AIMS Proceedings, 2015 pp. 312-319
  17. S. Lucente,
    Large data solutions for critical semilinear weakly hyperbolic equations,
    Proceeding of the conference Complex Analysis & Dinamical System VI, Nahariya (Israel) 19-24 Maggio 2013. Contemporary Mathematics,  653, (2015) 251-276
  18.  M. D’Abbicco, S. Lucente, M. Reissig,
    A shift in the critical exponent for semilinear wave equations with a not effective damping,
    Journal of Differential Equations,  259  (2015), 5040-5073.
  19. M. D’Abbicco, S. Lucente,
    A modified test function method for damped waves
    Advanced Nonlinear Studies 13 (2013), 867-892.
  20. S. Katayama, H. Kubo, S. Lucente,
    Almost global existence for exterior Neumann problems of semilinear wave equations in 2D
    Communications on Pure and Applied Analysis 12 (2013), 2331-2360.
  21. M. D’Abbicco, S. Lucente, M. Reissig,
    Semilinear wave equations with effectice damping,
    Chinese Annals of Mathematics, Series B 34 (2013), 345-380.
  22. S.Lucente, E. Montefusco
    Non-hamiltonian Schrödinger Systems
    DCDS-Serie S  6 (2013) 671-670.
  23. L. Fanelli, S. Lucente, E.Montefusco
    Semilinear Hamiltonian Schrödinger Systems 
    IJDSDE 3, (2011), 401-422.
  24. M. D’Abbicco, S. Lucente, G. Taglialatela
    Lp-Lq estimates for regularly hyperbolic systems
    Advances in Differential Equations 14, (2009), 801-834.
    Errata Advances in Differential Equations 16, (2011), 199-200.
  25. V. Georgiev, S. Lucente
    Nonlinear multiplicative inequalities in Sobolev spaces associated with Lie algebras

    Nonlinear Anal., Theory Methods Appl. 70, (2009), 1574-1609.
  26. H. Kubo, S. Lucente,
    Mixed Strichartz Estimates for Klein-Gordon Equation with Potential,
    Tsukuba J. Math 31, (2007), 143-173.
  27. S. Lucente,
    On a class of semilinear weakly hyperbolic equations,
    Annali dell’Università di Ferrara, Sec VII Sci.Math. Vol LII, N.2, (2006), 317-335.
  28. V. Georgiev, S. Lucente,
    Decay for Nonlinear Klein-Gordon Equation,
    NoDEA Vol. 11, N. 4, (2004), 529-555.
  29. L. Fanelli, S. Lucente
    The critical case for a semilinear weakly hyperbolic equation,
    Electron. J. Diff. Eqns., Vol. 2004, (2004), No. 101, 1-13. 
  30. V. Georgiev, S. Lucente, G. Ziliotti,
    L2-L°° estimates for hyperbolic systems,
    Hokkaido Mathematical Journal.33, (2004), 89-113.
  31. L. D’Ambrosio, S. Lucente
    Nonlinear Liouville Theorems for Grushin and Tricomi Operators
    Journal of Differential Equations 193,  (2003), 511-541.
  32. S. Lucente, G. Ziliotti ,
    Pseudo-differential Equation Applied to Nonlinear Systems of Crystal Optics,
    Partial differential equations (Torino, 2000), 83-100, Univ. Torino, Turin, 2000.
  33. S. Lucente, G. Ziliotti ,
    Global existence for a quasilinear Maxwell system,
    Rend. Istit. Mat. Univ. Trieste 31 (2000), suppl. 2, 169-187.
  34. S. Lucente,
    Nonlinear Wave Equation with Potential,
    Tsukuba J. Math. 24 (2000),  81-107.
  35. S. Lucente, G. Ziliotti
    A decay estimate for a class of hyperbolic pseudo-differential equations,
    Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei Math. Appl. 10 (1999), 173-190.
    Here there is a revised version
  36. S. Lucente,
    Nonlinear Wave Equation with Vanishing Potential,
    Serdica Math. J. , 25 (1999), 71-82.


  • Lucente, Critical exponents and where to find them, Bruno Pini Mathematical Analysis Seminar, Vol. 9 (2018) pp. 102–114
  • M. D’Abbicco, S. Lucente, G. Taglialatela
    Some Lp-Lq estimates for hyperbolic systems
    Proceedings of the 7th International ISAAC Congress
    Imperial College London, UK, 13- 18 July 2009, World Scientific 2010, 325-331
  • H. Kubo, S. Lucente
    A note on Klein-Gordon equation with potential
    Proceeding of 29th International Summer School AMEE
    Application of mathematics in engineering and economics, 87–92, Bulvest 2000, Sofia, 2004.
  • S. Lucente,
    Pseudo-differential equations and hyperbolic systems
    Lecture Notes of Seminario Interdisciplinare di Matematica. Vol 2 (2003), 87-100
  • S. Lucente
    Teoremi di esistenza globale per equazioni semilineari di tipo onda,
    an italian survey of the Ph.D. Thesis,
    Bollettino della Unione Matematica Italiana, Serie A. Serie VIII. III-A (2000),  363-366.
  • V. Georgiev, S. Lucente,
    Weighted Sobolev Spaces applied to Nonlinear Klein-Gordon Equation,
    C. R. Acad. Sci. Paris Sér. I Math. , 329 (1999), 21-26

Ph. D. Thesis

  • Global existence theory for semilinear wave-type equations.
    preprint Dipartimento di Matematica Università di Pisa, (2000) .


  • S. Lucente,   
    Weighted Inequalities in Besov Spaces
    Rapporto del Dipartimento Interuniversitario di Matematica, Università degli studi-Politecnico di Bari, (1998). 

Editor for

  • International Minicourse-Workshop “Interplay Between C0-semigroups and PDEs, theory and Applications” September 22-26 2003, Edited by Silvia Romanelli, Rosa Maria Mininni, Sandra Lucente, Aracne Editore Roma 2004