The web site of Scuola Normale
and Department of Mathematics of Pisa of the papers about Calculus of Variations and Geometric Measure Theory |
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F. Paronetto,
A natural local boundedness result for solutions of elliptic-parabolic equations, inviato per la pubblicazione |
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F. Paronetto,
Inner Hölder continuity for parabolic De Giorgi classes with degenerating coefficients depending on time inviato per la pubblicazione |
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F. Paronetto,
A Harnack inequality for solutions of degenerate parabolic equations and of forward-backward
parabolic equations, inviato per la pubblicazione |
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A. Maione, F. Paronetto, E. Vecchi,
G-convergence of elliptic and parabolic operators depending on vector fields, ESAIM Control Optim. Calc. Var. 29 (2023), Paper No. 8, 21 pp. |
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F. Paronetto,
Harnack inequality for parabolic equations with coefficients depending on time, Adv. Calc. Var. 16 (2023), no. 4, 791–821. |
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F. Paronetto,
Boundedness for solutions of weighted forward-backward parabolic equations without assuming higher regularity, Nonlinear Anal. 220 (2022) Paper no. 112863, 22 pp. |
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F. Paronetto,
Local boundedness for forward-backward parabolic De Giorgi classes without assuming higher regularity, Differential Integral Equations, Volume 35, Numbers 3-4 (2022), pp. 151-172 |
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F. Paronetto,
An apparently unnatural estimate about forward-backward parabolic equations, Adv. Differential Equations, Volume 26, Numbers 3-4 (2021), 133-162 |
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F. Paronetto,
Elliptic approximation of forward-backward parabolic equations, Commun. Pure Appl. Anal. 19 (2020), no. 2, 1017-1036. |
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F. Paronetto,
A remark on forward-backward parabolic equations, Appl. Anal. 98 (2019), no. 6, 1042-1051 |
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F. Paronetto,
Local boundedness for forward-backward parabolic De Giorgi classes with coefficients depending on time, Nonlinear Anal. 158 (2017), 168-198. |
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F. Paronetto,
A Harnack type inequality and a maximum principle for an elliptic-parabolic and forward-backward parabolic De Giorgi class, Discrete Contin. Dyn. Syst. Ser. S 10 (2017), no. 4, 853-866. |
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F. Paronetto,
Two generalized Tricomi equations, Calc. Var. Partial Differential Equations 60 (2021), no. 3, Paper No. 84, 28 pp. (inviato per la pubblicazione nel 2015) |
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F. Paronetto,
Further existence results for elliptic-parabolic and forward-backward parabolic equations, Calc. Var. Calc. Var. Partial Differential Equations, 59 (2020), no. 4, Paper No. 137, 30 pp. (inviato per la pubblicazione nel 2015) | ||||||||||||
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F. Paronetto,
A Harnack's inequality and Hölder continuity for solutions of mixed type evolution equations, Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl. 26 (2015), no. 4, 385-395 |
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F. Paronetto,
A Harnack's inequality for mixed type evolution equations, J. Differential Equations 260 (2016), no. 6, 5259-5355 |
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M. Masson - M. Miranda jr. - F. Paronetto - M. Parviainen,
Local higher integrability for parabolic quasiminimizers in metric spaces, Ric. Mat. 62 (2013), no. 2, 279-305. |
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F. Paronetto,
An existence result for evolution equations in non-cylindrical domains, NoDEA Nonlinear Differential Equations Appl. 20 (2013), no. 6, 1723-1740. |
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J. Kinnunen - N. Marola - M. Miranda jr. - F. Paronetto,
Harnack's inequality for parabolic De Giorgi classes in metric spaces, Adv. Differential Equations 17 (2012), no. 9-10, 801-832. |
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F. Paronetto,
A time regularity result for forward-backward parabolic equations, Boll. Unione Mat. Ital. (9) 4 (2011), no. 1, 69-77. |
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L. Angiuli - D. Pallara - F. Paronetto,
Parabolic equations in $L^1$ with general boundary conditions via duality methods, Semigroup Forum 80 (2010), no. 2, 255--271. |
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S. Fornaro - F. Paronetto - V. Vespri,
Disuguaglianza di Harnack per Equazioni Paraboliche , Quaderno n.2/2008 del Dipartimento di Matematica ``Ennio De Giorgi'' di Lecce. |
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F. Paronetto,
G-convergence of mixed type evolution operators, J. Math. Pur. Appl., vol. 93 (2010), n.4, pp. 361-407. |
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L. Angiuli - M. J. Miranda - D. Pallara - F. Paronetto
BV functions and parabolic initial boundary value problems on domains, Ann. Mat. Pura Appl. vol. 188 (2009), pp. 297-331 |
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M. J. Miranda - D. Pallara - F. Paronetto - M. Preunkert,
Heat semigroup and Functions of Bounded Variation on Riemannian Manifolds, J. Reine Angew. Math. vol. 613 (2007), pp. 99-119 |
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M. J. Miranda - D. Pallara - F. Paronetto - M. Preunkert,
Short-time Heat Flow and Functions of Bounded Variation in R^N, Ann. Fac. Sci. Toulouse Math., vol. 16 (1), (2007), pp. 125-145. |
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M. J. Miranda - D. Pallara - F. Paronetto - M. Preunkert,
On a characterisation of perimeters in R^N via heat semigroup , Ricerche Mat., vol. 54 (2), (2005), pp. 615-621. |
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F. Paronetto,
Existence results for a class of mixed type evolution equations of second order, J. Differential Equations, vol. 226 (2006), no. 2, pp. 525--540 |
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M. Amar - A. Dall'Aglio - F. Paronetto,
Homogenization of changing type evolution equations, J. Convex Anal. vol. 12 (1) (2005), pp. 221-237 |
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M. Amar - A. Dall'Aglio - F. Paronetto,
Homogenization of forward-backward parabolic equations, Asymptotic Anal., vol. 42 (1,2) (2005), pp. 123-132. |
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F. Paronetto,
Asymptotic behaviour of a class of elliptic-parabolic operators: a unitary approach, ESAIM Control Optim. Calc. Var. (electronic), vol. 13 (4) (2007), pp. 669-691. |
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F. Paronetto,
Existence results for a class of evolution equations of mixed type, J. Funct. Anal., vol. 212 (2) (2004), pp. 324-356. |
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F. Paronetto,
Homogenization of degenerate elliptic-parabolic equations, Asymptotic Anal., vol. 37 (1) (2004), pp. 21-56. (inviato per la pubblicazione nel 2000) |
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![]() F. Paronetto,
Homogenization of degenerate elliptic-parabolic equations, |
Carbone, Luciano (ed.) et al., Homogenization 2001. Proceedings of the first HMS2000 international school and conference on homogenization, Naples, Italy, June 18-22 and 23-27, 2001. Tokyo: Gakkotosho. GAKUTO Int. Ser., Math. Sci. Appl. 18, 269-273 (2003). |
![]() F. Paronetto,
Some new results on the convergence of degenerate elliptic and parabolic equations, |
J. Convex Anal., vol. 9 (1) (2002), pp. 31-54 |
![]() F. Paronetto,
Homogenization of a class of degenerate parabolic equations, |
Asymptotic Anal., vol. 21 (3,4) (1999), pp. 275-302. |
![]() F. Paronetto - F. Serra Cassano,
On the convergence of a class of degenerate parabolic equations, |
J. Math. Pur. Appl., vol. 77, n. 9 (1998), pp. 851-878. |
![]() F. Paronetto,
G-convergenza per una classe di equazioni ellittiche e paraboliche degeneri | (ph. d. thesis), UTM PhDTS 18 (1998). |