Edit Profile (opens in new tab) Lorenzi, Luca Co-Author Distance Author ID: lorenzi.luca Published as: Lorenzi, Luca; Lorenzi, L. Documents Indexed: 86 Publications since 1998, including 3 Books and 3 Additional arXiv Preprints 1 Contribution as Editor Reviewing Activity: 12 Reviews Co-Authors: 42 Co-Authors with 67 Joint Publications 1,223 Co-Co-Authors all top 5 Co-Authors 20 single-authored 17 Angiuli, Luciana 13 Brauner, Claude-Michel 9 Addona, Davide 8 Rhandi, Abdelaziz 6 Lunardi, Alessandra 6 Mangino, Elisabetta M. 4 Bertoldi, Marcello 4 Hulshof, Josephus 4 Kunze, Markus Christian 3 Favini, Angelo 3 Fornaro, Simona 3 Lorenzi, Alfredo 3 Schnaubelt, Roland 3 Tessitore, Gianmario 2 Albanese, Angela Anna 2 Fragnelli, Genni 2 Hieber, Matthias 2 Hu, Lina 2 Sivashinsky, Gregory I. 2 Yamamoto, Masahiro 2 Zamboni, Alessandro 1 Delmonte, Simone 1 Dong, Yuchao 1 Fan, Xinyue 1 Farkas, Bálint 1 Geissert, Matthias 1 Guyonne, Vincent 1 Imanuvilov, Oleg Yu. 1 Jolly, Danaelle 1 Leone, Vincenzo 1 Liang, Jin 1 Maichine, Abdallah 1 Manco, V. 1 Miranville, Alain M. 1 Pallara, Diego 1 Prüß, Jan Wilhelm 1 Rhandi, Adbelaziz 1 Sviridyuk, Georgiĭ Anatol’evich 1 Thiébaut, Rodolphe 1 Xu, Chuanju 1 Zhang, Mingmin 1 Zhang, Wen all top 5 Serials 6 Journal of Mathematical Analysis and Applications 5 Discrete and Continuous Dynamical Systems. Series S 4 Journal of Differential Equations 4 Journal of Evolution Equations 4 Communications on Pure and Applied Analysis 3 Journal of Inverse and Ill-Posed Problems 3 Advances in Differential Equations 2 Inverse Problems 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Semigroup Forum 2 Transactions of the American Mathematical Society 2 Chinese Annals of Mathematics. Series B 2 Differential and Integral Equations 2 Discrete and Continuous Dynamical Systems 2 Interfaces and Free Boundaries 2 Discrete and Continuous Dynamical Systems. Series B 2 Vestnik Yuzhno-Ural’skogo Gosudarstvennogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie 2 Monographs and Research Notes in Mathematics 1 Revue Roumaine de Mathématiques Pures et Appliquées 1 Advances in Mathematics 1 Archiv der Mathematik 1 Journal of Functional Analysis 1 Le Matematiche 1 Mathematische Nachrichten 1 Proceedings of the American Mathematical Society 1 Note di Matematica 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Forum Mathematicum 1 Dynamic Systems and Applications 1 Communications in Partial Differential Equations 1 SIAM Journal on Mathematical Analysis 1 Advances in Mathematical Sciences and Applications 1 Potential Analysis 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Bollettino della Unione Matematica Italiana. Serie VIII. Sezione A. La Matematica nella Società e nella Cultura 1 Milan Journal of Mathematics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Dynamics of Partial Differential Equations 1 Pure and Applied Mathematics (Boca Raton) 1 Kinetic and Related Models 1 Rivista di Matematica della Università di Parma. New Series 1 Journal of Applied Analysis and Computation 1 Evolution Equations and Control Theory 1 Advances in Nonlinear Analysis all top 5 Fields 81 Partial differential equations (35-XX) 38 Operator theory (47-XX) 17 Classical thermodynamics, heat transfer (80-XX) 12 Dynamical systems and ergodic theory (37-XX) 7 Probability theory and stochastic processes (60-XX) 5 Integral equations (45-XX) 4 Ordinary differential equations (34-XX) 3 History and biography (01-XX) 3 Functional analysis (46-XX) 2 Fluid mechanics (76-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 Potential theory (31-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 69 Publications have been cited 558 times in 262 Documents Cited by ▼ Year ▼ Analytical methods for Markov semigroups. Zbl 1109.35005 Lorenzi, Luca; Bertoldi, Marcello 77 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 Nonautonomous Kolmogorov parabolic equations with unbounded coefficients. Zbl 1184.35150 Kunze, Markus; Lorenzi, Luca; Lunardi, Alessandra 25 2010 Estimates of the derivatives for parabolic operators with unbounded coefficients. Zbl 1065.35077 Bertoldi, Marcello; Lorenzi, Luca 19 2005 Heterogeneous viral environment in a HIV spatial model. Zbl 1221.35061 Brauner, Claude-Michel; Jolly, Danaelle; Lorenzi, Luca; Thiebaut, Rodolphe 19 2011 Analytical methods for Kolmogorov equations. 2nd edition of the book previously published under the title ‘Analytical methods for Markov semigroups’. Zbl 1353.35001 Lorenzi, Luca 18 2017 On Schrödinger type operators with unbounded coefficients: generation and heat kernel estimates. Zbl 1484.47074 Lorenzi, Luca; Rhandi, Abdelaziz 18 2015 Global properties of generalized Ornstein–Uhlenbeck operators on \(L^p(\mathbb R^N, \mathbb R^N)\)with more than linearly growing coefficients. Zbl 1162.47034 Hieber, Matthias; Lorenzi, Luca; Prüss, Jan; Rhandi, Abdelaziz; Schnaubelt, Roland 15 2009 Schauder estimates for degenerate elliptic and parabolic problems with unbounded coefficients in \(\mathbb R^N\). Zbl 1212.35255 Lorenzi, Luca 14 2005 On a class of weakly coupled systems of elliptic operators with unbounded coefficients. Zbl 1259.47053 Delmonte, Simone; Lorenzi, Luca 14 2011 \(L^p\)-uniqueness for elliptic operators with unbounded coefficients in \(\mathbb R^N\). Zbl 1161.47030 Albanese, Angela; Lorenzi, Luca; Mangino, Elisabetta 13 2009 Asymptotic behavior in time periodic parabolic problems with unbounded coefficients. Zbl 1207.47038 Lorenzi, Luca; Lunardi, Alessandra; Zamboni, Alessandro 13 2010 Hypercontractivity and asymptotic behavior in nonautonomous Kolmogorov equations. Zbl 1282.35052 Angiuli, Luciana; Lorenzi, Luca; Lunardi, Alessandra 13 2013 Optimal Schauder estimates for parabolic problems with data measurable with respect to time. Zbl 0974.35018 Lorenzi, Luca 12 2000 Compactness and invariance properties of evolution operators associated with Kolmogorov operators with unbounded coefficients. Zbl 1233.47040 Angiuli, Luciana; Lorenzi, Luca 11 2011 On a class of hypoelliptic operators with unbounded coefficients in \(\mathbb R^N\). Zbl 1172.35363 Farkas, Bálint; Lorenzi, Luca 11 2009 On coupled systems of Kolmogorov equations with applications to stochastic differential games. Zbl 1371.35144 Addona, Davide; Angiuli, Luciana; Lorenzi, Luca; Tessitore, Gianmario 11 2017 Gradient estimates for parabolic problems with unbounded coefficients in non convex unbounded domains. Zbl 1183.35072 Bertoldi, Marcello; Fornaro, Simona; Lorenzi, Luca 10 2007 \(L^{p}\)-estimates for parabolic systems with unbounded coefficients coupled at zero and first order. Zbl 1383.35100 Angiuli, Luciana; Lorenzi, Luca; Pallara, Diego 10 2016 Optimal Hölder regularity for nonautonomous Kolmogorov equations. Zbl 1207.35084 Lorenzi, Luca 9 2011 A fully nonlinear equation for the flame front in a quasi-steady combustion model. Zbl 1196.35122 Brauner, Claude-Michel; Hulshof, Josephus; Lorenzi, Luca; Sivashinsky, Gregory I. 9 2010 A free boundary problem stemmed from combustion theory. I: Existence, uniqueness and regularity results. Zbl 1037.35105 Lorenzi, Luca 9 2002 A free boundary problem stemmed from combustion theory. II: Stability, instability and bifurcation results. Zbl 1037.35106 Lorenzi, Luca 9 2002 On improvement of summability properties in nonautonomous Kolmogorov equations. Zbl 1284.35210 Angiuli, Luciana; Lorenzi, Luca 9 2014 Cores for parabolic operators with unbounded coefficients. Zbl 1186.35091 Lorenzi, Luca; Zamboni, Alessandro 8 2009 \(L^p\)-theory for Schrödinger systems. Zbl 1427.35102 Kunze, M.; Lorenzi, L.; Maichine, A.; Rhandi, A. 8 2019 On invariant measures associated with weakly coupled systems of Kolmogorov equations. Zbl 1442.35186 Addona, Davide; Angiuli, Luciana; Lorenzi, Luca 8 2019 On a strongly damped wave equation for the flame front. Zbl 1221.35252 Brauner, Claude-Michel; Lorenzi, Luca; Sivashinsky, Gregory I.; Xu, Chuanju 7 2010 Mean ergodic theorems for bi-continuous semigroups. Zbl 1221.47077 Albanese, A. A.; Lorenzi, L.; Manco, V. 7 2011 An abstract ultraparabolic integrodifferential equation. Zbl 1156.45302 Lorenzi, Luca 7 1998 Regularity and analyticity in a two-dimensional combustion model. Zbl 1040.80006 Lorenzi, Luca 7 2002 Elliptic operators with unbounded diffusion coefficients in \(L^{2}\) spaces with respect to invariant measures. Zbl 1143.35015 Lorenzi, Luca; Lunardi, Alessandra 6 2006 Kernel estimates for nonautonomous Kolmogorov equations. Zbl 1331.35153 Kunze, Markus; Lorenzi, Luca; Rhandi, Abdelaziz 5 2016 Semigroups of bounded operators and second-order elliptic and parabolic partial differential equations. Zbl 1476.47001 Lorenzi, Luca; Rhandi, Adbelaziz 5 2021 Invariant measures for systems of Kolmogorov equations. Zbl 1456.35031 Addona, Davide; Angiuli, Luciana; Lorenzi, Luca 5 2018 Nonautonomous Kolmogorov equations in the whole space: a survey on recent results. Zbl 1262.35116 Lorenzi, Luca 5 2013 Estimates of the derivatives for a class of parabolic degenerate operators with unbounded coefficients in \(\mathbb R^N\). Zbl 1107.35071 Lorenzi, Luca 4 2005 An identification problem for a one-phase Stefan problem. Zbl 1003.35125 Lorenzi, L. 4 2001 Stability of the travelling wave in a 2D weakly nonlinear Stefan problem. Zbl 1185.35289 Brauner, Claude-Michel; Hulshof, Josephus; Lorenzi, Luca 4 2009 Instabilities in a combustion model with two free interfaces. Zbl 1429.35212 Addona, D.; Brauner, C.-M.; Lorenzi, L.; Zhang, W. 4 2020 {Second-order parabolic equations with unbounded coefficients} in exterior domains. Zbl 1212.35037 Hieber, Matthias; Lorenzi, Luca; Rhandi, Abdelaziz 4 2007 On coupled systems of PDEs with unbounded coefficients. Zbl 1447.35180 Angiuli, Luciana; Lorenzi, Luca 4 2020 Stability analysis and Hopf bifurcation at high Lewis number in a combustion model with free interface. Zbl 1442.35555 Brauner, Claude-Michel; Lorenzi, Luca; Zhang, Mingmin 4 2020 Asymptotic analysis in a gas-solid combustion model with pattern formation. Zbl 1262.35214 Brauner, Claude-Michel; Hu, Lina; Lorenzi, Luca 4 2013 Instability in a flame ball problem. Zbl 1138.35092 Guyonne, Vincent; Lorenzi, Luca 3 2007 Bifurcation of codimension two in a combustion model. Zbl 1074.80003 Lorenzi, Luca 3 2004 Kernel estimates for nonautonomous Kolmogorov equations with potential term. Zbl 1391.35176 Kunze, Markus; Lorenzi, Luca; Rhandi, Abdelaziz 3 2014 Rigorous derivation of the Kuramoto-Sivashinsky equation from a 2D weakly nonlinear Stefan problem. Zbl 1225.35195 Brauner, Claude-Michel; Hulshof, Josephus; Lorenzi, Luca 3 2011 On the estimates of the derivatives of solutions to nonautonomous Kolmogorov equations and their consequences. Zbl 1379.35158 Angiuli, Luciana; Lorenzi, Luca 3 2016 Strong convergence of solutions to nonautonomous Kolmogorov equations. Zbl 1342.35129 Lorenzi, Luca; Lunardi, Alessandra; Schnaubelt, Roland 3 2016 On a perturbation of a class of Schrödinger systems in \(L^2\)-spaces. Zbl 1405.35075 Angiuli, Luciana; Lorenzi, Luca; Mangino, Elisabetta M. 3 2018 Local existence in free interface problems with underlying second-order Stefan condition. Zbl 1424.35363 Brauner, Claude-Michel; Lorenzi, Luca 3 2018 Pointwise gradient estimates in exterior domains. Zbl 1116.35032 Bertoldi, Marcello; Fornaro, Simona; Lorenzi, Luca 2 2007 An identification problem for an ultraparabolic integrodifferential equation. Zbl 0942.45005 Lorenzi, L. 2 1999 \(L^p\)-regularity for parabolic operators with unbounded time-dependent coefficients. Zbl 1191.47054 Geissert, Matthias; Lorenzi, Luca; Schnaubelt, Roland 2 2010 Stability in a two-dimensional free boundary combustion model. Zbl 1034.35160 Lorenzi, Luca; Lunardi, Alessandra 2 2003 On vector-valued Schrödinger operators with unbounded diffusion in \(L^p\) spaces. Zbl 1480.35278 Angiuli, Luciana; Lorenzi, Luca; Mangino, Elisabetta; Rhandi, Abdelaziz 2 2021 A strongly ill-posed problem for a degenerate parabolic equation with unbounded coefficients in an unbounded domain \(\Omega \times \mathcal O\) of \(\mathbb R^{M+N}\). Zbl 1264.35274 Lorenzi, A.; Lorenzi, L. 2 2013 An identification problem for the Ornstein-Uhlenbeck operator. Zbl 1279.35119 Lorenzi, Luca 2 2011 Schauder estimates for the Ornstein-Uhlenbeck semigroup in spaces of functions with polynomial and exponential growth. Zbl 0957.35057 Lorenzi, Luca 1 2000 A singular parabolic boundary value problem in weighted \(L^p\)-spaces. Zbl 1210.35130 Favini, Angelo; Lorenzi, Luca 1 2004 On a class of elliptic operators with unbounded time- and space-dependent coefficients in \(\mathbb R^N\). Zbl 1157.35053 Lorenzi, Luca 1 2008 Non autonomous parabolic problems with unbounded coefficients in unbounded domains. Zbl 1334.35073 Angiuli, L.; Lorenzi, L. 1 2015 Asymptotic analysis in a gas-solid combustion model with pattern formation. Zbl 1327.35452 Brauner, Claude-Michel; Hu, Lina; Lorenzi, Luca 1 2014 A strongly ill-posed integrodifferential singular parabolic problem in the unit cube of \(\mathbb{R}^n\). Zbl 1375.35637 Lorenzi, Alfredo; Lorenzi, Luca 1 2014 Generation results for vector-valued elliptic operators with unbounded coefficients in \(L^p\) spaces. Zbl 1491.35169 Angiuli, Luciana; Lorenzi, Luca; Mangino, Elisabetta M.; Rhandi, Abdelaziz 1 2022 Carleman estimate for the Navier-Stokes equations and applications. Zbl 1492.35183 Imanuvilov, Oleg Y.; Lorenzi, Luca; Yamamoto, Masahiro 1 2022 Regularity results for nonlinear Young equations and applications. Zbl 1485.35439 Addona, Davide; Lorenzi, Luca; Tessitore, Gianmario 1 2022 On weakly coupled systems of partial differential equations with different diffusion terms. Zbl 1512.35134 Addona, Davide; Lorenzi, Luca 1 2023 On weakly coupled systems of partial differential equations with different diffusion terms. Zbl 1512.35134 Addona, Davide; Lorenzi, Luca 1 2023 Generation results for vector-valued elliptic operators with unbounded coefficients in \(L^p\) spaces. Zbl 1491.35169 Angiuli, Luciana; Lorenzi, Luca; Mangino, Elisabetta M.; Rhandi, Abdelaziz 1 2022 Carleman estimate for the Navier-Stokes equations and applications. Zbl 1492.35183 Imanuvilov, Oleg Y.; Lorenzi, Luca; Yamamoto, Masahiro 1 2022 Regularity results for nonlinear Young equations and applications. Zbl 1485.35439 Addona, Davide; Lorenzi, Luca; Tessitore, Gianmario 1 2022 Semigroups of bounded operators and second-order elliptic and parabolic partial differential equations. Zbl 1476.47001 Lorenzi, Luca; Rhandi, Adbelaziz 5 2021 On vector-valued Schrödinger operators with unbounded diffusion in \(L^p\) spaces. Zbl 1480.35278 Angiuli, Luciana; Lorenzi, Luca; Mangino, Elisabetta; Rhandi, Abdelaziz 2 2021 Instabilities in a combustion model with two free interfaces. Zbl 1429.35212 Addona, D.; Brauner, C.-M.; Lorenzi, L.; Zhang, W. 4 2020 On coupled systems of PDEs with unbounded coefficients. Zbl 1447.35180 Angiuli, Luciana; Lorenzi, Luca 4 2020 Stability analysis and Hopf bifurcation at high Lewis number in a combustion model with free interface. Zbl 1442.35555 Brauner, Claude-Michel; Lorenzi, Luca; Zhang, Mingmin 4 2020 \(L^p\)-theory for Schrödinger systems. Zbl 1427.35102 Kunze, M.; Lorenzi, L.; Maichine, A.; Rhandi, A. 8 2019 On invariant measures associated with weakly coupled systems of Kolmogorov equations. Zbl 1442.35186 Addona, Davide; Angiuli, Luciana; Lorenzi, Luca 8 2019 Invariant measures for systems of Kolmogorov equations. Zbl 1456.35031 Addona, Davide; Angiuli, Luciana; Lorenzi, Luca 5 2018 On a perturbation of a class of Schrödinger systems in \(L^2\)-spaces. Zbl 1405.35075 Angiuli, Luciana; Lorenzi, Luca; Mangino, Elisabetta M. 3 2018 Local existence in free interface problems with underlying second-order Stefan condition. Zbl 1424.35363 Brauner, Claude-Michel; Lorenzi, Luca 3 2018 Analytical methods for Kolmogorov equations. 2nd edition of the book previously published under the title ‘Analytical methods for Markov semigroups’. Zbl 1353.35001 Lorenzi, Luca 18 2017 On coupled systems of Kolmogorov equations with applications to stochastic differential games. Zbl 1371.35144 Addona, Davide; Angiuli, Luciana; Lorenzi, Luca; Tessitore, Gianmario 11 2017 \(L^{p}\)-estimates for parabolic systems with unbounded coefficients coupled at zero and first order. Zbl 1383.35100 Angiuli, Luciana; Lorenzi, Luca; Pallara, Diego 10 2016 Kernel estimates for nonautonomous Kolmogorov equations. Zbl 1331.35153 Kunze, Markus; Lorenzi, Luca; Rhandi, Abdelaziz 5 2016 On the estimates of the derivatives of solutions to nonautonomous Kolmogorov equations and their consequences. Zbl 1379.35158 Angiuli, Luciana; Lorenzi, Luca 3 2016 Strong convergence of solutions to nonautonomous Kolmogorov equations. Zbl 1342.35129 Lorenzi, Luca; Lunardi, Alessandra; Schnaubelt, Roland 3 2016 On Schrödinger type operators with unbounded coefficients: generation and heat kernel estimates. Zbl 1484.47074 Lorenzi, Luca; Rhandi, Abdelaziz 18 2015 Non autonomous parabolic problems with unbounded coefficients in unbounded domains. Zbl 1334.35073 Angiuli, L.; Lorenzi, L. 1 2015 On improvement of summability properties in nonautonomous Kolmogorov equations. Zbl 1284.35210 Angiuli, Luciana; Lorenzi, Luca 9 2014 Kernel estimates for nonautonomous Kolmogorov equations with potential term. Zbl 1391.35176 Kunze, Markus; Lorenzi, Luca; Rhandi, Abdelaziz 3 2014 Asymptotic analysis in a gas-solid combustion model with pattern formation. Zbl 1327.35452 Brauner, Claude-Michel; Hu, Lina; Lorenzi, Luca 1 2014 A strongly ill-posed integrodifferential singular parabolic problem in the unit cube of \(\mathbb{R}^n\). Zbl 1375.35637 Lorenzi, Alfredo; Lorenzi, Luca 1 2014 Hypercontractivity and asymptotic behavior in nonautonomous Kolmogorov equations. Zbl 1282.35052 Angiuli, Luciana; Lorenzi, Luca; Lunardi, Alessandra 13 2013 Nonautonomous Kolmogorov equations in the whole space: a survey on recent results. Zbl 1262.35116 Lorenzi, Luca 5 2013 Asymptotic analysis in a gas-solid combustion model with pattern formation. Zbl 1262.35214 Brauner, Claude-Michel; Hu, Lina; Lorenzi, Luca 4 2013 A strongly ill-posed problem for a degenerate parabolic equation with unbounded coefficients in an unbounded domain \(\Omega \times \mathcal O\) of \(\mathbb R^{M+N}\). Zbl 1264.35274 Lorenzi, A.; Lorenzi, L. 2 2013 Heterogeneous viral environment in a HIV spatial model. Zbl 1221.35061 Brauner, Claude-Michel; Jolly, Danaelle; Lorenzi, Luca; Thiebaut, Rodolphe 19 2011 On a class of weakly coupled systems of elliptic operators with unbounded coefficients. Zbl 1259.47053 Delmonte, Simone; Lorenzi, Luca 14 2011 Compactness and invariance properties of evolution operators associated with Kolmogorov operators with unbounded coefficients. Zbl 1233.47040 Angiuli, Luciana; Lorenzi, Luca 11 2011 Optimal Hölder regularity for nonautonomous Kolmogorov equations. Zbl 1207.35084 Lorenzi, Luca 9 2011 Mean ergodic theorems for bi-continuous semigroups. Zbl 1221.47077 Albanese, A. A.; Lorenzi, L.; Manco, V. 7 2011 Rigorous derivation of the Kuramoto-Sivashinsky equation from a 2D weakly nonlinear Stefan problem. Zbl 1225.35195 Brauner, Claude-Michel; Hulshof, Josephus; Lorenzi, Luca 3 2011 An identification problem for the Ornstein-Uhlenbeck operator. Zbl 1279.35119 Lorenzi, Luca 2 2011 Nonautonomous Kolmogorov parabolic equations with unbounded coefficients. Zbl 1184.35150 Kunze, Markus; Lorenzi, Luca; Lunardi, Alessandra 25 2010 Asymptotic behavior in time periodic parabolic problems with unbounded coefficients. Zbl 1207.47038 Lorenzi, Luca; Lunardi, Alessandra; Zamboni, Alessandro 13 2010 A fully nonlinear equation for the flame front in a quasi-steady combustion model. Zbl 1196.35122 Brauner, Claude-Michel; Hulshof, Josephus; Lorenzi, Luca; Sivashinsky, Gregory I. 9 2010 On a strongly damped wave equation for the flame front. Zbl 1221.35252 Brauner, Claude-Michel; Lorenzi, Luca; Sivashinsky, Gregory I.; Xu, Chuanju 7 2010 \(L^p\)-regularity for parabolic operators with unbounded time-dependent coefficients. Zbl 1191.47054 Geissert, Matthias; Lorenzi, Luca; Schnaubelt, Roland 2 2010 Global properties of generalized Ornstein–Uhlenbeck operators on \(L^p(\mathbb R^N, \mathbb R^N)\)with more than linearly growing coefficients. Zbl 1162.47034 Hieber, Matthias; Lorenzi, Luca; Prüss, Jan; Rhandi, Abdelaziz; Schnaubelt, Roland 15 2009 \(L^p\)-uniqueness for elliptic operators with unbounded coefficients in \(\mathbb R^N\). Zbl 1161.47030 Albanese, Angela; Lorenzi, Luca; Mangino, Elisabetta 13 2009 On a class of hypoelliptic operators with unbounded coefficients in \(\mathbb R^N\). Zbl 1172.35363 Farkas, Bálint; Lorenzi, Luca 11 2009 Cores for parabolic operators with unbounded coefficients. Zbl 1186.35091 Lorenzi, Luca; Zamboni, Alessandro 8 2009 Stability of the travelling wave in a 2D weakly nonlinear Stefan problem. Zbl 1185.35289 Brauner, Claude-Michel; Hulshof, Josephus; Lorenzi, Luca 4 2009 On a class of elliptic operators with unbounded time- and space-dependent coefficients in \(\mathbb R^N\). Zbl 1157.35053 Lorenzi, Luca 1 2008 Analytical methods for Markov semigroups. Zbl 1109.35005 Lorenzi, Luca; Bertoldi, Marcello 77 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 for parabolic problems with unbounded coefficients in non convex unbounded domains. Zbl 1183.35072 Bertoldi, Marcello; Fornaro, Simona; Lorenzi, Luca 10 2007 {Second-order parabolic equations with unbounded coefficients} in exterior domains. Zbl 1212.35037 Hieber, Matthias; Lorenzi, Luca; Rhandi, Abdelaziz 4 2007 Instability in a flame ball problem. Zbl 1138.35092 Guyonne, Vincent; Lorenzi, Luca 3 2007 Pointwise gradient estimates in exterior domains. Zbl 1116.35032 Bertoldi, Marcello; Fornaro, Simona; Lorenzi, Luca 2 2007 Elliptic operators with unbounded diffusion coefficients in \(L^{2}\) spaces with respect to invariant measures. Zbl 1143.35015 Lorenzi, Luca; Lunardi, Alessandra 6 2006 Estimates of the derivatives for parabolic operators with unbounded coefficients. Zbl 1065.35077 Bertoldi, Marcello; Lorenzi, Luca 19 2005 Schauder estimates for degenerate elliptic and parabolic problems with unbounded coefficients in \(\mathbb R^N\). Zbl 1212.35255 Lorenzi, Luca 14 2005 Estimates of the derivatives for a class of parabolic degenerate operators with unbounded coefficients in \(\mathbb R^N\). Zbl 1107.35071 Lorenzi, Luca 4 2005 Bifurcation of codimension two in a combustion model. Zbl 1074.80003 Lorenzi, Luca 3 2004 A singular parabolic boundary value problem in weighted \(L^p\)-spaces. Zbl 1210.35130 Favini, Angelo; Lorenzi, Luca 1 2004 Stability in a two-dimensional free boundary combustion model. Zbl 1034.35160 Lorenzi, Luca; Lunardi, Alessandra 2 2003 A free boundary problem stemmed from combustion theory. I: Existence, uniqueness and regularity results. Zbl 1037.35105 Lorenzi, Luca 9 2002 A free boundary problem stemmed from combustion theory. II: Stability, instability and bifurcation results. Zbl 1037.35106 Lorenzi, Luca 9 2002 Regularity and analyticity in a two-dimensional combustion model. Zbl 1040.80006 Lorenzi, Luca 7 2002 An identification problem for a one-phase Stefan problem. Zbl 1003.35125 Lorenzi, L. 4 2001 Optimal Schauder estimates for parabolic problems with data measurable with respect to time. Zbl 0974.35018 Lorenzi, Luca 12 2000 Schauder estimates for the Ornstein-Uhlenbeck semigroup in spaces of functions with polynomial and exponential growth. Zbl 0957.35057 Lorenzi, Luca 1 2000 An identification problem for an ultraparabolic integrodifferential equation. Zbl 0942.45005 Lorenzi, L. 2 1999 An abstract ultraparabolic integrodifferential equation. Zbl 1156.45302 Lorenzi, Luca 7 1998 all cited Publications top 5 cited Publications all top 5 Cited by 328 Authors 40 Lorenzi, Luca 17 Rhandi, Abdelaziz 16 Angiuli, Luciana 11 Addona, Davide 10 Brauner, Claude-Michel 9 Ferrari, Simone 9 Kunze, Markus Christian 9 Lunardi, Alessandra 8 Pavliotis, Grigorios A. 8 Tacelli, Cristian 7 Metafune, Giorgio 6 Gregorio, Federica 6 Mangino, Elisabetta M. 6 Pallara, Diego 5 Budde, Christian 5 Canale, Anna 5 Spina, Chiara 4 Cappa, Gianluca 4 Glück, Jochen 4 Maichine, Abdallah 4 Priola, Enrico 4 Schnaubelt, Roland 4 Sobajima, Motohiro 4 Vaes, Urbain 4 Vo Anh Khoa 4 Zacher, Rico 3 Albanese, Angela Anna 3 Alphonse, Paul 3 Bignamini, Davide A. 3 Boutiah, Sallah Eddine 3 Bramanti, Marco 3 Dobrick, Alexander 3 Dong, Hongjie 3 Hattaf, Khalid 3 Kruse, Karsten 3 Lorenzi, Alfredo 3 Nguyen Huy Tuan 3 Ospanov, Kordan Nauryzkhanovich 3 Pascucci, Andrea 3 Polidoro, Sergio 3 Pravda-Starov, Karel 3 Rebucci, Annalaura 3 Wang, Jinliang 3 Wang, Xiaoyan 3 Yang, Junyuan 3 Yousfi, Noura 2 Belhaj Ali, Soumaya 2 Bogachev, Vladimir Igorevich 2 Casarino, Valentina 2 Cass, Thomas Richard 2 Chaudru De Raynal, Paul-Eric 2 Chen, Linghua 2 Chen, Yuming 2 Ciatti, Paolo 2 Da Prato, Giuseppe 2 Dobson, Paul W. 2 Farkas, Bálint 2 Fornaro, Simona 2 Gerlach, Moritz 2 Hao, Zimo 2 Hieber, Matthias 2 Honoré, Igor 2 Hu, Lina 2 Ishige, Kazuhiro 2 Jakobsen, Espen Robstad 2 Kinzebulatov, Damir 2 Krylov, Nicolaĭ Vladimirovich 2 Kuniya, Toshikazu 2 Laidoune, Karima 2 Le Trong Lan 2 Lelièvre, Tony 2 Lemle, Ludovic Dan 2 Lin, Zhigui 2 Mandel, Rainer 2 Marino, Lorenzo 2 Menozzi, Stéphane 2 Mola, Gianluca 2 Muratbekov, Madi M. 2 Muratbekov, Mussakan Baipakbaevich 2 Negro, Luigi 2 Niebel, Lukas 2 Ottobre, Michela 2 Pagliarani, Stefano 2 Pang, Danfeng 2 Pappalardo, Francesco 2 Semënov, Yuliy A. 2 Shaposhnikov, Stanislav V. 2 Sivashinsky, Gregory I. 2 Sjogren, Peter 2 Stoltz, Gabriel 2 Tarantino, Ciro 2 Tateishi, Yujiro 2 Tessitore, Gianmario 2 Tran The Hung 2 Xiao, Yanni 2 Yamamoto, Masahiro 2 Zamboni, Alessandro 2 Zhang, Hong 2 Zhang, Wen 2 Zhang, Xicheng ...and 228 more Authors all top 5 Cited in 111 Serials 20 Journal of Mathematical Analysis and Applications 18 Journal of Evolution Equations 14 Journal of Differential Equations 8 Applicable Analysis 8 Journal of Functional Analysis 7 Semigroup Forum 6 Communications on Pure and Applied Analysis 6 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 5 Annali di Matematica Pura ed Applicata. Serie Quarta 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Transactions of the American Mathematical Society 5 Bulletin des Sciences Mathématiques 4 Computers & Mathematics with Applications 4 Archiv der Mathematik 4 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 4 Electronic Journal of Probability 4 Discrete and Continuous Dynamical Systems 3 Mathematical Methods in the Applied Sciences 3 Mathematische Annalen 3 Mathematische Nachrichten 3 NoDEA. Nonlinear Differential Equations and Applications 3 Discrete and Continuous Dynamical Systems. Series S 3 Evolution Equations and Control Theory 2 Journal of Statistical Physics 2 Ukrainian Mathematical Journal 2 Chaos, Solitons and Fractals 2 The Annals of Probability 2 Results in Mathematics 2 Ricerche di Matematica 2 SIAM Journal on Control and Optimization 2 Chinese Annals of Mathematics. Series B 2 Probability Theory and Related Fields 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 Communications in Partial Differential Equations 2 Stochastic Processes and their Applications 2 Potential Analysis 2 Calculus of Variations and Partial Differential Equations 2 Journal of Mathematical Sciences (New York) 2 Journal of Inverse and Ill-Posed Problems 2 Complexity 2 Mathematical Finance 2 Communications in Nonlinear Science and Numerical Simulation 2 Multiscale Modeling & Simulation 2 Mathematical Biosciences and Engineering 2 Boundary Value Problems 2 SIAM/ASA Journal on Uncertainty Quantification 1 Communications in Mathematical Physics 1 Studia Mathematica 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Advances in Mathematics 1 Annales Polonici Mathematici 1 Applied Mathematics and Computation 1 Applied Mathematics and Optimization 1 Czechoslovak Mathematical Journal 1 Functiones et Approximatio. Commentarii Mathematici 1 Journal of the London Mathematical Society. Second Series 1 Memoirs of the American Mathematical Society 1 Proceedings of the American Mathematical Society 1 SIAM Journal on Numerical Analysis 1 Topology and its Applications 1 Ergodic Theory and Dynamical Systems 1 Zeitschrift für Analysis und ihre Anwendungen 1 Note di Matematica 1 Applied Mathematics and Mechanics. (English Edition) 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Physica D 1 Journal of Theoretical Probability 1 Applied Mathematics Letters 1 Forum Mathematicum 1 The Journal of Geometric Analysis 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Journal of Nonlinear Science 1 Topological Methods in Nonlinear Analysis 1 Computational and Applied Mathematics 1 Turkish Journal of Mathematics 1 Advances in Computational Mathematics 1 Sbornik: Mathematics 1 Finance and Stochastics 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Abstract and Applied Analysis 1 Positivity 1 Journal of Inequalities and Applications 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 Interfaces and Free Boundaries 1 Acta Mathematica Sinica. English Series 1 Combustion Theory and Modelling 1 Scandinavian Actuarial Journal 1 Discrete and Continuous Dynamical Systems. Series B 1 Journal of Machine Learning Research (JMLR) 1 Milan Journal of Mathematics 1 Journal of the Institute of Mathematics of Jussieu 1 Mediterranean Journal of Mathematics 1 Advances in Difference Equations 1 Complex Analysis and Operator Theory 1 Networks and Heterogeneous Media 1 Inverse Problems and Imaging 1 Banach Journal of Mathematical Analysis 1 Kinetic and Related Models 1 Asian-European Journal of Mathematics ...and 11 more Serials all top 5 Cited in 32 Fields 196 Partial differential equations (35-XX) 114 Operator theory (47-XX) 59 Probability theory and stochastic processes (60-XX) 24 Ordinary differential equations (34-XX) 24 Biology and other natural sciences (92-XX) 19 Dynamical systems and ergodic theory (37-XX) 18 Functional analysis (46-XX) 16 Numerical analysis (65-XX) 12 Classical thermodynamics, heat transfer (80-XX) 7 Global analysis, analysis on manifolds (58-XX) 7 Statistical mechanics, structure of matter (82-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Real functions (26-XX) 6 Integral equations (45-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 5 Measure and integration (28-XX) 5 Systems theory; control (93-XX) 4 Statistics (62-XX) 3 Potential theory (31-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Differential geometry (53-XX) 2 Computer science (68-XX) 2 Quantum theory (81-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 General topology (54-XX) 1 Fluid mechanics (76-XX) Citations by Year