list of
publications
40. D. Del Santo,
M. Prizzi, Reconstruction
of the initial condition in parabolic equations with
Log-Lipschitz coefficients, submitted
(2024), preprint
39. D.
Casagrande, D. Del Santo, M. Prizzi, Conditional
stability up to the final time for backward
parabolic equations with Log-Lipschitz coefficients, J.
Differential Equations 338 (2022),
518--550; article,
preprint
38. D. Del
Santo, M. Prizzi, Well-posedness
for hyperbolic equations whose coefficients lose
regularity at one point, Monaths. Math.197
(2022), no. 3, 407--417; online first: november 11,
2021; read only editorial reprint; preprint
37. D. Del
Santo, M. Prizzi, On
backward uniqueness for parabolic equations when Osgood
continuity of the coefficients fails at one point, Annali di
Matematica Pura e Applicata 201 (2022), no. 1, 93--110;
online first: april 17, 2021; open access editorial reprint; preprint
36. D.
Casagrande, D. Del Santo, M. Prizzi, Conditional stability for
backward parabolic operators with Osgood continuous
coefficients, Annali di Matematica Pura e Applicata
199 (2020), no. 2, 479–508; online
first: july 04, 2019; preprint
- accepted
manuscript version
35. D.
Casagrande, D. Del Santo, M. Prizzi, Conditional stability for
backward parabolic equations with Osgood coefficients,
in "Analysis, Probability, Applications and Computation -
Proceedings of the 11th ISAAC Congress, Vaxjo (Sweden)
2017", Karl-Olof Lindahl, Torsten Lindstrom, Luigi Rodino,
Joachim Toft, Patrik Wahlberg (eds.), Birkhauser (2019),
285--295; preprint
34. D. Del
Santo, Ch.P. Jäh, M. Prizzi, Conditional
stability for backward parabolic equations with LogLip_t ×Lip_x
coefficients, Nonlinear Anal.
121 (2015), 101--122; preprint
33. D. Del Santo and M. Prizzi, A new result on backward uniqueness for parabolic operators, Annali di Matematica Pura e Applicata 194, No.2 (2015), 387--403; preprint
32. M. Prizzi, Dimension of attractors and invariant sets of damped wave equations in unbounded domains, Topological Methods in Nonlinear Analysis, Vol. 41, No. 2 (2013), 267--285; preprint
31. M. Prizzi, Dimension of attractors and invariant sets in reaction diffusion equations, Topological Methods in Nonlinear Analysis, Vol. 40, N0.2 (2012), 315–-336; preprint
30. M. Prizzi, Regularity of invariant sets in semilinear damped wave equations, J. Differential Equations 247, No. 12 (2009), 3315--3337; preprint
29. D. Del Santo and M. Prizzi, Continuous dependence for backward parabolic operators with Log-Lipschitz coefficients, Math. Ann., Vol. 345, No. 1 (2009), 213--243; preprint
28. M. Prizzi and K. Rybakowski, Attractors for singularly perturbed damped wave equations on unbounded domains, Topological Methods in Nonlinear Analysis, Vol. 32, No. 1 (2008), 1--21; preprint
27. M. Prizzi and K. Rybakowski, Attractors for damped hyperbolic equations on arbitrary unbounded domains, Topological Methods in Nonlinear Analysis, Vol. 31, No. 1 (2008), 49--82; preprint
26. M. Prizzi and K. Rybakowski, Attractors for reaction diffusion equations on arbitrary unbounded domains, Topological Methods in Nonlinear Analysis, Vol. 30, No. 2 (2007), 251--270; preprint
25. D. Del Santo and M. Prizzi, On the absence of rapidly decaying solutions for parabolic operators whose coefficients are non-Lipschitz continuous in time, Proc. Amer. Math. Soc. 135, No. 2 (2007), 383--391; article
24. D. Del Santo and M. Prizzi, On the backward uniqueness property for a class of parabolic operators, in "Phase Space Analysis of PDE's", Birkhaeuser (2006), 95--105; preprint
23. D. Del Santo and M. Prizzi, Backward uniqueness for parabolic operators whose coefficients are non-Lipschitz continuous in time, J. Math. Pures Appl. 84 (2005), 471--491; article
22. M. Prizzi, Averaging, Conley index continuation and recurrent dynamics in almost-periodic parabolic equations, J. Differential Equations 210 (2005), 429--451; article
21. D. Del Santo and M. Prizzi, A remark on well posedness for hyperbolic equations with singular coefficients, Tsukuba J. Math., Vol. 27, No. 1 (2003), 189--199; article
20. M. Prizzi, On admissibility for parabolic equations in R^n, Fund. Math. 176 (2003), 261--275; article
19. M. Prizzi and K. Rybakowski, On inertial manifolds for reaction-diffusion equations on genuinely high-dimensional thin domains, Studia Mathematica 154 (2003), 253--275; article
18. M. Prizzi, A remark on reaction-diffusion equations in unbounded domains, Discrete Contin. Dynam. Systems (DCDS-A), Vol. 9, No. 2 (2003), 281--286; article
17. M. Prizzi and K. Rybakowski, Inertial manifolds on squeezed domains, J. Dynam. Differential Equations, Vol. 15, No. 1 (2003), 1--48; article
16. F. Antoci and M. Prizzi, Attractors and global averaging of non-autonomous reaction-diffusion equations in R^n, Topological Methods in Nonlinear Analysis, Vol. 20, No. 2 (2002), 229--259; article
15. T. Elsken and M. Prizzi, Characterization of the limit of some higher dimensional thin domain problems, Topological Methods in Nonlinear Analysis, Vol. 20, No. 1 (2002), 151--178; article
14. M. Prizzi and K. Rybakowski, Recent results on thin domain problems II, Topological Methods in Nonlinear Analysis, Vol. 19, No. 2 (2002), 199--221; article
13. M. Prizzi, M. Rinaldi and K. Rybakowski, Curved Thin Domains and Parabolic Equations, Studia Mathematica 151 (2002), 109--140; article
12. M. Prizzi and K. Rybakowski, The Effect of Domain Squeezing upon the Dynamics of Reaction-diffusion Equations, J. Differential Equations 173, No. 2 (2001), 271--320; article
11. F. Antoci and M. Prizzi, Reaction-diffusion equations on unbounded thin domains, Topological Methods in Nonlinear Analysis, Vol. 18, No. 2 (2001), 283--302; article
10. M. Prizzi, Perturbation of Elliptic Operators and Complex Dynamics of Parabolic PDEs, Proc. Roy. Soc. Edinburgh Sect. A 130, n. 2 (2000), 397--418; article
9. M. Prizzi and K. Rybakowski, Dynamics on squeezed domains, Proceedings of the conference "Equadiff 99" (Berlin, August 1-7, 1999), Vol. 1, World Scientific, Singapore (2000), 753--759;
8. M. Prizzi and K. Rybakowski, Some recent results on thin domain problems, Topological Methods in Nonlinear Analysis, Vol.14, No.2 (1999), 239--255; article
7. M. Prizzi, Realizing Vector Fields without Loss of Derivatives, Ann. Scuola Norm. Sup. Pisa, Cl. Sci (4) Vol. XXVII (1999), 289--307; article
6. M. Prizzi and K. Rybakowski, Complicated Dynamics of Parabolic Equations with Simple Gradient Dependence, Trans. Am. Math. Soc. 350, No. 8 (1998), 3119--3130; article
5. M. Prizzi and K. Rybakowski, Inverse Problems and Chaotic Dynamics of Parabolic Equations on Arbitrary Spatial Domains, J. Differential Equations 142 (1998), 17--53; article
4. M. Prizzi and K. Rybakowski, Some recent results on chaotic dynamics of parabolic equations, Proceedings of the conference "Topological Methods in Differential Equations and Dynamical Systems" (Krakow, 1996), Jagiellonian Univ. Proc. XXXVI (1998), 231--235;
3. M. Prizzi, Complex Dynamics in Semilinear Parabolic PDEs, Ph.D-Thesis, SISSA, Trieste, Novembre 1997; full text
2. M. Prizzi, Realization of jets and vector fields in scalar parabolic equations, preprint SISSA 81/97/M (June 1997), earlier version of [10]; pdf
1. M. Prizzi,
Invariant Manifolds for Singularly Perturbed Parabolic
Equations, Rendiconti dell' Istituto di Matematica
dell' Universita' di Trieste XXVI (1994), 151--210; article