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## Fornaro, Simona

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 Author ID: fornaro.simona Published as: Fornaro, Simona; Fornaro, S.
 Documents Indexed: 29 Publications since 2004
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#### Co-Authors

 0 single-authored 9 Metafune, Giorgio 7 Pallara, Diego 7 Vespri, Vincenzo Riccardo 4 Schnaubelt, Roland 4 Sosio, Maria 3 Bertoldi, Marcello 3 Lorenzi, Luca 2 Cupini, Giovanni 2 Henriques, Eurica 2 Rhandi, Abdelaziz 1 Arendt, Wolfgang 1 Chill, Ralph 1 Düzgün, Fatma Gamze 1 Fusco, Nicola 1 Gianazza, Ugo Pietro 1 Gregorio, Federica 1 Lisini, Stefano 1 Manco, V. 1 Poupaud, César 1 Priola, Enrico 1 Prüß, Jan Wilhelm 1 Savaré, Giuseppe 1 Toscani, Giuseppe
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#### Serials

 5 Discrete and Continuous Dynamical Systems 3 Journal of Differential Equations 2 Archiv der Mathematik 2 Communications on Pure and Applied Analysis 1 Journal of Mathematical Analysis and Applications 1 Studia Mathematica 1 Journal of Functional Analysis 1 Manuscripta Mathematica 1 Le Matematiche 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Note di Matematica 1 Forum Mathematicum 1 Differential and Integral Equations 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Advances in Differential Equations 1 Positivity 1 Milan Journal of Mathematics 1 Discrete and Continuous Dynamical Systems. Series S
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#### Fields

 28 Partial differential equations (35-XX) 15 Operator theory (47-XX) 3 Ordinary differential equations (34-XX) 2 Probability theory and stochastic processes (60-XX) 1 Functional analysis (46-XX) 1 Global analysis, analysis on manifolds (58-XX)

#### Citations contained in zbMATH Open

25 Publications have been cited 212 times in 155 Documents Cited by Year
$$L^{p}$$-maximal regularity for nonautonomous evolution equations. Zbl 1126.34037
Arendt, Wolfgang; Chill, Ralph; Fornaro, Simona; Poupaud, César
2007
Generation results for elliptic operators with unbounded diffusion coefficients in $$L^p$$-and $$C_b$$-spaces. Zbl 1152.47031
Fornaro, Simona; Lorenzi, Luca
2007
Gradient estimates in parabolic problems with unbounded coefficients. Zbl 1065.35076
Bertoldi, M.; Fornaro, S.
2004
Gradient estimates for Dirichlet parabolic problems in unbounded domains. Zbl 1061.35022
Fornaro, S.; Metafune, G.; Priola, E.
2004
Intrinsic Harnack estimates for some doubly nonlinear degenerate parabolic equations. Zbl 1160.35039
Fornaro, S.; Sosio, M.
2008
Maximal regularity in $$L^p(\mathbb R^N)$$ for a class of elliptic operators with unbounded coefficients. Zbl 1174.35394
Cupini, Giovanni; Fornaro, Simona
2004
$$L^{p}$$-theory for some elliptic and parabolic problems with first order degeneracy at the boundary. Zbl 1387.35297
Fornaro, Simona; Metafune, Giorgio; Pallara, Diego; Prüss, Jan
2007
$$L^r_{\mathrm{loc}}-L^\infty_{\mathrm{loc}}$$ estimates and expansion of positivity for a class of doubly non linear singular parabolic equations. Zbl 1284.35099
Fornaro, Simona; Sosio, Maria; Vespri, Vincenzo
2014
Gradient estimates for parabolic problems with unbounded coefficients in non convex unbounded domains. Zbl 1183.35072
Bertoldi, Marcello; Fornaro, Simona; Lorenzi, Luca
2007
Energy estimates and integral Harnack inequality for some doubly nonlinear singular parabolic equations. Zbl 1322.35082
Fornaro, Simona; Sosio, Maria; Vespri, Vincenzo
2013
On the Ornstein Uhlenbeck operator perturbed by singular potentials in $$L^p$$-spaces. Zbl 1294.47058
Fornaro, Simona; Rhandi, Abdelaziz
2013
Interior Harnack estimates: the state-of-the-art for quasilinear singular parabolic equations. Zbl 1332.35189
Düzgün, Fatma Gamze; Fornaro, Simona; Vespri, Vincenzo
2015
Harnack type inequalities for some doubly nonlinear singular parabolic equations. Zbl 1347.35049
Vespri, Vincenzo; Sosio, Maria; Fornaro, Simona
2015
Harnack estimates for non-negative weak solutions of a class of singular parabolic equations. Zbl 1264.35065
Fornaro, S.; Vespri, V.
2013
Degenerate operators of Tricomi type in $$L^p$$-spaces and in spaces of continuous functions. Zbl 1235.35139
Fornaro, S.; Metafune, G.; Pallara, D.; Schnaubelt, R.
2012
Analytic semigroups generated in $$L^p$$ by elliptic operators with high order degeneracy at the boundary. Zbl 1267.47070
Fornaro, Simona; Metafune, Giorgio; Pallara, Diego
2011
Sharp upper bounds for the density of some invariant measures. Zbl 1206.47038
Fornaro, Simona; Fusco, Nicola; Metafune, Giorgio; Pallara, Diego
2009
One-dimensional degenerate operators in $$L^p$$-spaces. Zbl 1261.47065
Fornaro, S.; Metafune, G.; Pallara, D.; Schnaubelt, R.
2013
Elliptic operators with unbounded diffusion coefficients perturbed by inverse square potentials in $$L^p$$-spaces. Zbl 1369.47054
Fornaro, Simona; Gregorio, Federica; Rhandi, Abdelaziz
2016
Second order elliptic operators in $$L^2$$ with first order degeneration at the boundary and outward pointing drift. Zbl 1422.35124
Fornaro, Simona; Metafune, Giorgio; Pallara, Diego; Schnaubelt, Roland
2015
Pointwise gradient estimates in exterior domains. Zbl 1116.35032
Bertoldi, Marcello; Fornaro, Simona; Lorenzi, Luca
2007
Harnack type inequalities for the parabolic logarithmic $$p$$-Laplacian equation. Zbl 1447.35201
Fornaro, Simona; Henriques, Eurica; Vespri, Vincenzo
2020
Measure valued solutions of sub-linear diffusion equations with a drift term. Zbl 1267.35100
Fornaro, Simona; Lisini, Stefano; Savaré, Giuseppe; Toscani, Giuseppe
2012
Local properties of non-negative solutions to some doubly non-linear degenerate parabolic equations. Zbl 1184.35172
Fornaro, Simona; Gianazza, Ugo
2010
On the domain of some ordinary differential operators in spaces of continuous functions. Zbl 1136.35047
Fornaro, S.; Manco, V.
2004
Harnack type inequalities for the parabolic logarithmic $$p$$-Laplacian equation. Zbl 1447.35201
Fornaro, Simona; Henriques, Eurica; Vespri, Vincenzo
2020
Elliptic operators with unbounded diffusion coefficients perturbed by inverse square potentials in $$L^p$$-spaces. Zbl 1369.47054
Fornaro, Simona; Gregorio, Federica; Rhandi, Abdelaziz
2016
Interior Harnack estimates: the state-of-the-art for quasilinear singular parabolic equations. Zbl 1332.35189
Düzgün, Fatma Gamze; Fornaro, Simona; Vespri, Vincenzo
2015
Harnack type inequalities for some doubly nonlinear singular parabolic equations. Zbl 1347.35049
Vespri, Vincenzo; Sosio, Maria; Fornaro, Simona
2015
Second order elliptic operators in $$L^2$$ with first order degeneration at the boundary and outward pointing drift. Zbl 1422.35124
Fornaro, Simona; Metafune, Giorgio; Pallara, Diego; Schnaubelt, Roland
2015
$$L^r_{\mathrm{loc}}-L^\infty_{\mathrm{loc}}$$ estimates and expansion of positivity for a class of doubly non linear singular parabolic equations. Zbl 1284.35099
Fornaro, Simona; Sosio, Maria; Vespri, Vincenzo
2014
Energy estimates and integral Harnack inequality for some doubly nonlinear singular parabolic equations. Zbl 1322.35082
Fornaro, Simona; Sosio, Maria; Vespri, Vincenzo
2013
On the Ornstein Uhlenbeck operator perturbed by singular potentials in $$L^p$$-spaces. Zbl 1294.47058
Fornaro, Simona; Rhandi, Abdelaziz
2013
Harnack estimates for non-negative weak solutions of a class of singular parabolic equations. Zbl 1264.35065
Fornaro, S.; Vespri, V.
2013
One-dimensional degenerate operators in $$L^p$$-spaces. Zbl 1261.47065
Fornaro, S.; Metafune, G.; Pallara, D.; Schnaubelt, R.
2013
Degenerate operators of Tricomi type in $$L^p$$-spaces and in spaces of continuous functions. Zbl 1235.35139
Fornaro, S.; Metafune, G.; Pallara, D.; Schnaubelt, R.
2012
Measure valued solutions of sub-linear diffusion equations with a drift term. Zbl 1267.35100
Fornaro, Simona; Lisini, Stefano; Savaré, Giuseppe; Toscani, Giuseppe
2012
Analytic semigroups generated in $$L^p$$ by elliptic operators with high order degeneracy at the boundary. Zbl 1267.47070
Fornaro, Simona; Metafune, Giorgio; Pallara, Diego
2011
Local properties of non-negative solutions to some doubly non-linear degenerate parabolic equations. Zbl 1184.35172
Fornaro, Simona; Gianazza, Ugo
2010
Sharp upper bounds for the density of some invariant measures. Zbl 1206.47038
Fornaro, Simona; Fusco, Nicola; Metafune, Giorgio; Pallara, Diego
2009
Intrinsic Harnack estimates for some doubly nonlinear degenerate parabolic equations. Zbl 1160.35039
Fornaro, S.; Sosio, M.
2008
$$L^{p}$$-maximal regularity for nonautonomous evolution equations. Zbl 1126.34037
Arendt, Wolfgang; Chill, Ralph; Fornaro, Simona; Poupaud, César
2007
Generation results for elliptic operators with unbounded diffusion coefficients in $$L^p$$-and $$C_b$$-spaces. Zbl 1152.47031
Fornaro, Simona; Lorenzi, Luca
2007
$$L^{p}$$-theory for some elliptic and parabolic problems with first order degeneracy at the boundary. Zbl 1387.35297
Fornaro, Simona; Metafune, Giorgio; Pallara, Diego; Prüss, Jan
2007
Gradient estimates for parabolic problems with unbounded coefficients in non convex unbounded domains. Zbl 1183.35072
Bertoldi, Marcello; Fornaro, Simona; Lorenzi, Luca
2007
Pointwise gradient estimates in exterior domains. Zbl 1116.35032
Bertoldi, Marcello; Fornaro, Simona; Lorenzi, Luca
2007
Gradient estimates in parabolic problems with unbounded coefficients. Zbl 1065.35076
Bertoldi, M.; Fornaro, S.
2004
Gradient estimates for Dirichlet parabolic problems in unbounded domains. Zbl 1061.35022
Fornaro, S.; Metafune, G.; Priola, E.
2004
Maximal regularity in $$L^p(\mathbb R^N)$$ for a class of elliptic operators with unbounded coefficients. Zbl 1174.35394
Cupini, Giovanni; Fornaro, Simona
2004
On the domain of some ordinary differential operators in spaces of continuous functions. Zbl 1136.35047
Fornaro, S.; Manco, V.
2004
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#### Cited by 190 Authors

 13 Lorenzi, Luca 12 Metafune, Giorgio 10 Fornaro, Simona 10 Vespri, Vincenzo Riccardo 9 Rhandi, Abdelaziz 8 Pallara, Diego 7 Spina, Chiara 6 Priola, Enrico 6 Schnaubelt, Roland 5 Angiuli, Luciana 5 Da Prato, Giuseppe 5 Kunze, Markus Christian 5 Lunardi, Alessandra 5 Rehberg, Joachim 5 Tacelli, Cristian 4 Sobajima, Motohiro 3 Bögelein, Verena 3 Boutiah, Sallah Eddine 3 Cappa, Gianluca 3 Diagana, Toka 3 Ferrari, Simone 3 Gregorio, Federica 3 Henriques, Eurica 3 Ouhabaz, El Maati 3 Prüß, Jan Wilhelm 3 Ragnedda, Francesco 3 Roidos, Nikolaos 3 Singer, Thomas 3 Vernier-Piro, Stella 2 Achache, Mahdi 2 Addona, Davide 2 Amann, Herbert 2 Belhaj Ali, Soumaya 2 Bertoldi, Marcello 2 Calahorrano Recalde, Marco Vinicio 2 Cannarsa, Piermarco 2 Chen, Linghua 2 Chill, Ralph 2 Dier, Dominik 2 Disser, Karoline 2 Fackler, Stephan 2 Gallarati, Chiara 2 Hieber, Matthias 2 Jakobsen, Espen Robstad 2 Kim, KyeongHun 2 Kinnunen, Juha 2 Krylov, Nicolaĭ Vladimirovich 2 Laasri, Hafida 2 Laleoglu, Rojbin 2 Mangino, Elisabetta M. 2 Metoui, Imen 2 Mourou, Sami 2 Pyatkov, Sergeĭ Grigor’evich 2 Shao, Yuanzhen 2 Sosio, Maria 2 Sturm, Stefan 2 Taniguchi, Koichi 2 ter Elst, Antonius Frederik Maria 2 Vestberg, Matias 2 Wang, Feng-Yu 2 Zacher, Rico 1 Abels, Helmut 1 Albanese, Angela Anna 1 Allegretto, Walter 1 Amansag, Ahmed 1 Araújo, Janielly G. 1 Ashyralyev, Allaberen 1 Audrito, Alessandro 1 Barbu, Viorel 1 Beneš, Michal 1 Bogachev, Vladimir Igorevich 1 Bothe, Dieter 1 Bounit, Hamid 1 Boussandel, Sahbi 1 Bramanti, Marco 1 Byun, Sun-Sig 1 Carrillo de la Plata, José Antonio 1 Caso, Loredana 1 Celik, Emine 1 Chang, Der-Chen E. 1 Chen, Daguang 1 Ciani, Simone 1 Court, Sébastien 1 Cui, Xuewei 1 Cupini, Giovanni 1 Deng, Lihua 1 Denk, Robert 1 Dirr, Nicolas Peter 1 Dong, Hongjie 1 Donninger, Roland 1 Driouich, Abderrahim 1 Durante, Tiziana 1 Duzaar, Frank 1 Düzgün, Fatma Gamze 1 ElMennaoui, Omar 1 Fašangová, Eva 1 Feng, Sheng-Ya 1 Fiorenza, Alberto 1 Fragnelli, Genni 1 Geissert, Matthias ...and 90 more Authors
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#### Cited in 70 Serials

 17 Journal of Differential Equations 10 Journal of Mathematical Analysis and Applications 10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 10 Journal of Evolution Equations 8 Journal of Functional Analysis 4 Archiv der Mathematik 4 Potential Analysis 4 Discrete and Continuous Dynamical Systems 3 Mathematische Annalen 3 Semigroup Forum 3 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 3 Discrete and Continuous Dynamical Systems. Series S 2 Archive for Rational Mechanics and Analysis 2 Nonlinearity 2 Advances in Mathematics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Applied Mathematics and Optimization 2 Czechoslovak Mathematical Journal 2 Mathematische Nachrichten 2 Proceedings of the American Mathematical Society 2 Results in Mathematics 2 Transactions of the American Mathematical Society 2 Calculus of Variations and Partial Differential Equations 2 Communications on Pure and Applied Analysis 2 Evolution Equations and Control Theory 2 Journal of Elliptic and Parabolic Equations 1 Inverse Problems 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Physics 1 Russian Mathematical Surveys 1 Studia Mathematica 1 Illinois Journal of Mathematics 1 Manuscripta Mathematica 1 Memoirs of the American Mathematical Society 1 Numerical Functional Analysis and Optimization 1 Osaka Journal of Mathematics 1 Ricerche di Matematica 1 SIAM Journal on Numerical Analysis 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Zeitschrift für Analysis und ihre Anwendungen 1 Note di Matematica 1 Chinese Annals of Mathematics. Series B 1 Acta Mathematica Hungarica 1 Physica D 1 Mathematical and Computer Modelling 1 Forum Mathematicum 1 The Journal of Geometric Analysis 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Communications in Partial Differential Equations 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Journal of Dynamics and Differential Equations 1 Journal of Mathematical Sciences (New York) 1 NoDEA. Nonlinear Differential Equations and Applications 1 Advances in Computational Mathematics 1 The Journal of Fourier Analysis and Applications 1 Abstract and Applied Analysis 1 Positivity 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 Interfaces and Free Boundaries 1 Acta Mathematica Sinica. English Series 1 Communications in Contemporary Mathematics 1 Differential Equations 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Milan Journal of Mathematics 1 Advances in Difference Equations 1 Analysis & PDE 1 International Journal of Stochastic Analysis 1 Afrika Matematika 1 Advances in Operator Theory
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#### Cited in 28 Fields

 134 Partial differential equations (35-XX) 65 Operator theory (47-XX) 18 Probability theory and stochastic processes (60-XX) 15 Ordinary differential equations (34-XX) 9 Functional analysis (46-XX) 6 Real functions (26-XX) 6 Dynamical systems and ergodic theory (37-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Measure and integration (28-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Numerical analysis (65-XX) 3 Potential theory (31-XX) 3 Differential geometry (53-XX) 3 Systems theory; control (93-XX) 2 Fluid mechanics (76-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Geophysics (86-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX)