Edit Profile (opens in new tab) Fornaro, Simona Co-Author Distance Author ID: fornaro.simona Published as: Fornaro, Simona; Fornaro, S. Documents Indexed: 32 Publications since 2004, including 1 Additional arXiv Preprint Co-Authors: 26 Co-Authors with 32 Joint Publications 700 Co-Co-Authors all top 5 Co-Authors 0 single-authored 10 Metafune, Giorgio 8 Pallara, Diego 8 Vespri, Vincenzo Riccardo 5 Schnaubelt, Roland 4 Sosio, Maria 3 Bertoldi, Marcello 3 Henriques, Eurica 3 Lorenzi, Luca 2 Cupini, Giovanni 2 Rhandi, Abdelaziz 1 Arendt, Wolfgang 1 Bignamini, Davide A. 1 Chill, Ralph 1 Düzgün, Fatma Gamze 1 Ferrari, Simone 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 1 Zanella, Margherita all top 5 Serials 5 Discrete and Continuous Dynamical Systems 3 Journal of Differential Equations 3 Communications on Pure and Applied Analysis 2 Archiv der Mathematik 2 Manuscripta Mathematica 1 Journal of Mathematical Analysis and Applications 1 Studia Mathematica 1 Journal of Functional Analysis 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 all top 5 Fields 30 Partial differential equations (35-XX) 15 Operator theory (47-XX) 3 Ordinary differential equations (34-XX) 2 Functional analysis (46-XX) 2 Probability theory and stochastic processes (60-XX) 1 Measure and integration (28-XX) 1 Global analysis, analysis on manifolds (58-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 30 Publications have been cited 290 times in 206 Documents Cited by ▼ Year ▼ \(L^{p}\)-maximal regularity for nonautonomous evolution equations. Zbl 1126.34037 Arendt, Wolfgang; Chill, Ralph; Fornaro, Simona; Poupaud, César 53 2007 Generation results for elliptic operators with unbounded diffusion coefficients in \(L^p\)-and \(C_b\)-spaces. Zbl 1152.47031 Fornaro, Simona; Lorenzi, Luca 32 2007 Gradient estimates in parabolic problems with unbounded coefficients. Zbl 1065.35076 Bertoldi, M.; Fornaro, S. 25 2004 Gradient estimates for Dirichlet parabolic problems in unbounded domains. Zbl 1061.35022 Fornaro, S.; Metafune, G.; Priola, E. 17 2004 Intrinsic Harnack estimates for some doubly nonlinear degenerate parabolic equations. Zbl 1160.35039 Fornaro, S.; Sosio, M. 17 2008 \(L^r_{\mathrm{loc}}-L^\infty_{\mathrm{loc}}\) estimates and expansion of positivity for a class of doubly non linear singular parabolic equations. Zbl 1284.35099 Fornaro, Simona; Sosio, Maria; Vespri, Vincenzo 15 2014 Maximal regularity in \(L^p(\mathbb R^N)\) for a class of elliptic operators with unbounded coefficients. Zbl 1174.35394 Cupini, Giovanni; Fornaro, Simona 13 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 12 2007 Energy estimates and integral Harnack inequality for some doubly nonlinear singular parabolic equations. Zbl 1322.35082 Fornaro, Simona; Sosio, Maria; Vespri, Vincenzo 12 2013 Gradient estimates for parabolic problems with unbounded coefficients in non convex unbounded domains. Zbl 1183.35072 Bertoldi, Marcello; Fornaro, Simona; Lorenzi, Luca 10 2007 On the Ornstein Uhlenbeck operator perturbed by singular potentials in \(L^p\)-spaces. Zbl 1294.47058 Fornaro, Simona; Rhandi, Abdelaziz 10 2013 Harnack type inequalities for some doubly nonlinear singular parabolic equations. Zbl 1347.35049 Vespri, Vincenzo; Sosio, Maria; Fornaro, Simona 8 2015 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. 6 2012 Elliptic operators with unbounded diffusion coefficients perturbed by inverse square potentials in \(L^p\)-spaces. Zbl 1369.47054 Fornaro, Simona; Gregorio, Federica; Rhandi, Abdelaziz 6 2016 Harnack type inequalities for the parabolic logarithmic \(p\)-Laplacian equation. Zbl 1447.35201 Fornaro, Simona; Henriques, Eurica; Vespri, Vincenzo 6 2020 Harnack estimates for non-negative weak solutions of a class of singular parabolic equations. Zbl 1264.35065 Fornaro, S.; Vespri, V. 6 2013 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 5 2011 Interior Harnack estimates: the state-of-the-art for quasilinear singular parabolic equations. Zbl 1332.35189 Düzgün, Fatma Gamze; Fornaro, Simona; Vespri, Vincenzo 5 2015 One-dimensional degenerate operators in \(L^p\)-spaces. Zbl 1261.47065 Fornaro, S.; Metafune, G.; Pallara, D.; Schnaubelt, R. 5 2013 Sharp upper bounds for the density of some invariant measures. Zbl 1206.47038 Fornaro, Simona; Fusco, Nicola; Metafune, Giorgio; Pallara, Diego 4 2009 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 4 2015 Regularity results for a class of doubly nonlinear very singular parabolic equations. Zbl 1458.35095 Fornaro, S.; Henriques, E.; Vespri, V. 4 2021 \(L^p\)-spectrum of degenerate hypoelliptic Ornstein-Uhlenbeck operators. Zbl 1454.35239 Fornaro, S.; Metafune, G.; Pallara, D.; Schnaubelt, R. 4 2021 Measure valued solutions of sub-linear diffusion equations with a drift term. Zbl 1267.35100 Fornaro, Simona; Lisini, Stefano; Savaré, Giuseppe; Toscani, Giuseppe 3 2012 Pointwise gradient estimates in exterior domains. Zbl 1116.35032 Bertoldi, Marcello; Fornaro, Simona; Lorenzi, Luca 2 2007 Multi-dimensional degenerate operators in \(L^p\)-spaces. Zbl 1490.35120 Fornaro, Simona; Metafune, Giorgio; Pallara, Diego; Schnaubelt, Roland 2 2022 Local properties of non-negative solutions to some doubly non-linear degenerate parabolic equations. Zbl 1184.35172 Fornaro, Simona; Gianazza, Ugo 1 2010 On the domain of some ordinary differential operators in spaces of continuous functions. Zbl 1136.35047 Fornaro, S.; Manco, V. 1 2004 Stability to a class of doubly nonlinear very singular parabolic equations. Zbl 1490.35058 Fornaro, S.; Henriques, E.; Vespri, V. 1 2022 Analyticity of the Cox-Ingersoll-Ross semigroup. Zbl 1445.35224 Fornaro, S.; Metafune, G. 1 2020 Multi-dimensional degenerate operators in \(L^p\)-spaces. Zbl 1490.35120 Fornaro, Simona; Metafune, Giorgio; Pallara, Diego; Schnaubelt, Roland 2 2022 Stability to a class of doubly nonlinear very singular parabolic equations. Zbl 1490.35058 Fornaro, S.; Henriques, E.; Vespri, V. 1 2022 Regularity results for a class of doubly nonlinear very singular parabolic equations. Zbl 1458.35095 Fornaro, S.; Henriques, E.; Vespri, V. 4 2021 \(L^p\)-spectrum of degenerate hypoelliptic Ornstein-Uhlenbeck operators. Zbl 1454.35239 Fornaro, S.; Metafune, G.; Pallara, D.; Schnaubelt, R. 4 2021 Harnack type inequalities for the parabolic logarithmic \(p\)-Laplacian equation. Zbl 1447.35201 Fornaro, Simona; Henriques, Eurica; Vespri, Vincenzo 6 2020 Analyticity of the Cox-Ingersoll-Ross semigroup. Zbl 1445.35224 Fornaro, S.; Metafune, G. 1 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 6 2016 Harnack type inequalities for some doubly nonlinear singular parabolic equations. Zbl 1347.35049 Vespri, Vincenzo; Sosio, Maria; Fornaro, Simona 8 2015 Interior Harnack estimates: the state-of-the-art for quasilinear singular parabolic equations. Zbl 1332.35189 Düzgün, Fatma Gamze; Fornaro, Simona; Vespri, Vincenzo 5 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 4 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 15 2014 Energy estimates and integral Harnack inequality for some doubly nonlinear singular parabolic equations. Zbl 1322.35082 Fornaro, Simona; Sosio, Maria; Vespri, Vincenzo 12 2013 On the Ornstein Uhlenbeck operator perturbed by singular potentials in \(L^p\)-spaces. Zbl 1294.47058 Fornaro, Simona; Rhandi, Abdelaziz 10 2013 Harnack estimates for non-negative weak solutions of a class of singular parabolic equations. Zbl 1264.35065 Fornaro, S.; Vespri, V. 6 2013 One-dimensional degenerate operators in \(L^p\)-spaces. Zbl 1261.47065 Fornaro, S.; Metafune, G.; Pallara, D.; Schnaubelt, R. 5 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. 6 2012 Measure valued solutions of sub-linear diffusion equations with a drift term. Zbl 1267.35100 Fornaro, Simona; Lisini, Stefano; Savaré, Giuseppe; Toscani, Giuseppe 3 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 5 2011 Local properties of non-negative solutions to some doubly non-linear degenerate parabolic equations. Zbl 1184.35172 Fornaro, Simona; Gianazza, Ugo 1 2010 Sharp upper bounds for the density of some invariant measures. Zbl 1206.47038 Fornaro, Simona; Fusco, Nicola; Metafune, Giorgio; Pallara, Diego 4 2009 Intrinsic Harnack estimates for some doubly nonlinear degenerate parabolic equations. Zbl 1160.35039 Fornaro, S.; Sosio, M. 17 2008 \(L^{p}\)-maximal regularity for nonautonomous evolution equations. Zbl 1126.34037 Arendt, Wolfgang; Chill, Ralph; Fornaro, Simona; Poupaud, César 53 2007 Generation results for elliptic operators with unbounded diffusion coefficients in \(L^p\)-and \(C_b\)-spaces. Zbl 1152.47031 Fornaro, Simona; Lorenzi, Luca 32 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 12 2007 Gradient estimates for parabolic problems with unbounded coefficients in non convex unbounded domains. Zbl 1183.35072 Bertoldi, Marcello; Fornaro, Simona; Lorenzi, Luca 10 2007 Pointwise gradient estimates in exterior domains. Zbl 1116.35032 Bertoldi, Marcello; Fornaro, Simona; Lorenzi, Luca 2 2007 Gradient estimates in parabolic problems with unbounded coefficients. Zbl 1065.35076 Bertoldi, M.; Fornaro, S. 25 2004 Gradient estimates for Dirichlet parabolic problems in unbounded domains. Zbl 1061.35022 Fornaro, S.; Metafune, G.; Priola, E. 17 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 13 2004 On the domain of some ordinary differential operators in spaces of continuous functions. Zbl 1136.35047 Fornaro, S.; Manco, V. 1 2004 all cited Publications top 5 cited Publications all top 5 Cited by 246 Authors 15 Lorenzi, Luca 15 Metafune, Giorgio 13 Vespri, Vincenzo Riccardo 12 Fornaro, Simona 11 Rhandi, Abdelaziz 9 Pallara, Diego 9 Spina, Chiara 7 Priola, Enrico 7 Schnaubelt, Roland 7 Tacelli, Cristian 6 Angiuli, Luciana 6 Da Prato, Giuseppe 6 Henriques, Eurica 6 Kunze, Markus Christian 6 Lunardi, Alessandra 6 Rehberg, Joachim 5 Ferrari, Simone 4 Gregorio, Federica 4 Sobajima, Motohiro 4 Zacher, Rico 3 Addona, Davide 3 Bögelein, Verena 3 Boutiah, Sallah Eddine 3 Cappa, Gianluca 3 Ciani, Simone 3 Diagana, Toka 3 Goldstein, Jerome Arthur 3 Hadd, Said 3 Krylov, Nicolaĭ Vladimirovich 3 Mangino, Elisabetta M. 3 Metoui, Imen 3 Negro, Luigi 3 Ouhabaz, El Maati 3 Prüß, Jan Wilhelm 3 Ragnedda, Francesco 3 Roidos, Nikolaos 3 Singer, Thomas 3 Vernier-Piro, Stella 3 Vestberg, Matias 2 Abels, Helmut 2 Achache, Mahdi 2 Amann, Herbert 2 Belhaj Ali, Soumaya 2 Bertoldi, Marcello 2 Bogachev, Vladimir Igorevich 2 Bonforte, Matteo 2 Calahorrano Recalde, Marco Vinicio 2 Cannarsa, Piermarco 2 Carrillo de la Plata, José Antonio 2 Chen, Linghua 2 Chill, Ralph 2 Court, Sébastien 2 Dier, Dominik 2 Disser, Karoline 2 ElMennaoui, Omar 2 Fackler, Stephan 2 Gallarati, Chiara 2 Gianazza, Ugo Pietro 2 Gou, Haide 2 Haller-Dintelmann, Robert 2 He, Jiawei 2 Hieber, Matthias 2 Ishige, Kazuhiro 2 Jakobsen, Espen Robstad 2 Kharou, Yassine 2 Kim, KyeongHun 2 Kinnunen, Juha 2 Kinzebulatov, Damir 2 Kogoj, Alessia Elisabetta 2 Laasri, Hafida 2 Laleoglu, Rojbin 2 Mourou, Sami 2 Niebel, Lukas 2 Ospanov, Kordan Nauryzkhanovich 2 Pyatkov, Sergeĭ Grigor’evich 2 Semënov, Yuliy A. 2 Shao, Yuanzhen 2 Siljander, Juhana 2 Sosio, Maria 2 Sturm, Stefan 2 Taniguchi, Koichi 2 ter Elst, Antonius Frederik Maria 2 Vazquez, Juan Luis 2 Veraar, Mark C. 2 Wang, Feng-Yu 2 Zhou, Yong 1 Agresti, Antonio 1 Albanese, Angela Anna 1 Allegretto, Walter 1 Almeida, Víctor M. 1 Amansag, Ahmed 1 Araújo, Janielly G. 1 Ashyralyev, Allaberen 1 Audrito, Alessandro 1 Barbu, Viorel 1 Beneš, Michal 1 Betancor Perez, Jorge Juan 1 Bezerra Júnior, Elzon C. 1 Bignamini, Davide A. 1 Bothe, Dieter ...and 146 more Authors all top 5 Cited in 84 Serials 19 Journal of Differential Equations 15 Journal of Evolution Equations 12 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 11 Journal of Mathematical Analysis and Applications 8 Journal of Functional Analysis 5 Archiv der Mathematik 5 Potential Analysis 5 Discrete and Continuous Dynamical Systems 5 Discrete and Continuous Dynamical Systems. Series S 4 Nonlinearity 4 Mathematische Annalen 4 Semigroup Forum 4 Communications on Pure and Applied Analysis 4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Transactions of the American Mathematical Society 3 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Evolution Equations and Control Theory 2 Archive for Rational Mechanics and Analysis 2 Studia Mathematica 2 Advances in Mathematics 2 Applied Mathematics and Optimization 2 Czechoslovak Mathematical Journal 2 Manuscripta Mathematica 2 Mathematische Nachrichten 2 Proceedings of the American Mathematical Society 2 Results in Mathematics 2 The Journal of Geometric Analysis 2 Calculus of Variations and Partial Differential Equations 2 NoDEA. Nonlinear Differential Equations and Applications 2 Bulletin of the Brazilian Mathematical Society. New Series 2 Journal of Elliptic and Parabolic Equations 1 Inverse Problems 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 Russian Mathematical Surveys 1 Chaos, Solitons and Fractals 1 Illinois Journal of Mathematics 1 Integral Equations and Operator Theory 1 Memoirs of the American Mathematical Society 1 Monatshefte für Mathematik 1 Numerical Functional Analysis and Optimization 1 Osaka Journal of Mathematics 1 Ricerche di Matematica 1 SIAM Journal on Numerical Analysis 1 Tokyo Journal of Mathematics 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 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Communications in Partial Differential Equations 1 Journal of Dynamics and Differential Equations 1 Journal of Mathematical Sciences (New York) 1 Bulletin des Sciences Mathématiques 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 Fractional Calculus & Applied Analysis 1 Interfaces and Free Boundaries 1 Acta Mathematica Sinica. English Series 1 Communications in Contemporary Mathematics 1 Differential Equations 1 Discrete and Continuous Dynamical Systems. Series B 1 Milan Journal of Mathematics 1 Analysis and Applications (Singapore) 1 Advances in Difference Equations 1 Boundary Value Problems 1 Proyecciones 1 Advances in Calculus of Variations 1 Analysis & PDE 1 International Journal of Stochastic Analysis 1 Afrika Matematika 1 Discontinuity, Nonlinearity, and Complexity 1 Advances in Operator Theory 1 SN Partial Differential Equations and Applications all top 5 Cited in 29 Fields 174 Partial differential equations (35-XX) 85 Operator theory (47-XX) 25 Ordinary differential equations (34-XX) 24 Probability theory and stochastic processes (60-XX) 12 Functional analysis (46-XX) 10 Dynamical systems and ergodic theory (37-XX) 8 Real functions (26-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Measure and integration (28-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 4 Numerical analysis (65-XX) 4 Systems theory; control (93-XX) 3 Potential theory (31-XX) 3 Differential geometry (53-XX) 3 Fluid mechanics (76-XX) 2 Approximations and expansions (41-XX) 2 Mechanics of deformable solids (74-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Geophysics (86-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Special functions (33-XX) 1 Abstract harmonic analysis (43-XX) 1 Optics, electromagnetic theory (78-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year