Angiuli, Luciana; Lorenzi, Luca; Mangino, Elisabetta M. Generation of semigroups associated to strongly coupled elliptic operators in \(L^p (\mathbb{R}^d; \mathbb{R}^m)\). (English) Zbl 07796905 J. Differ. Equations 383, 324-360 (2024). MSC: 35J47 35K45 47D06 PDFBibTeX XMLCite \textit{L. Angiuli} et al., J. Differ. Equations 383, 324--360 (2024; Zbl 07796905) Full Text: DOI arXiv
Addona, Davide; Lorenzi, Luca On weakly coupled systems of partial differential equations with different diffusion terms. (English) Zbl 1512.35134 Commun. Pure Appl. Anal. 22, No. 1, 271-303 (2023). MSC: 35B65 35K40 35K45 37L40 PDFBibTeX XMLCite \textit{D. Addona} and \textit{L. Lorenzi}, Commun. Pure Appl. Anal. 22, No. 1, 271--303 (2023; Zbl 1512.35134) Full Text: DOI arXiv
Angiuli, Luciana; Lorenzi, Luca; Mangino, Elisabetta M.; Rhandi, Abdelaziz Generation results for vector-valued elliptic operators with unbounded coefficients in \(L^p\) spaces. (English) Zbl 1491.35169 Ann. Mat. Pura Appl. (4) 201, No. 3, 1347-1379 (2022). MSC: 35J47 47D06 PDFBibTeX XMLCite \textit{L. Angiuli} et al., Ann. Mat. Pura Appl. (4) 201, No. 3, 1347--1379 (2022; Zbl 1491.35169) Full Text: DOI arXiv
Angiuli, Luciana; Lorenzi, Luca; Mangino, Elisabetta; Rhandi, Abdelaziz On vector-valued Schrödinger operators with unbounded diffusion in \(L^p\) spaces. (English) Zbl 1480.35278 J. Evol. Equ. 21, No. 3, 3181-3204 (2021). MSC: 35K40 35J10 35K90 31C25 35K08 47D06 47D08 PDFBibTeX XMLCite \textit{L. Angiuli} et al., J. Evol. Equ. 21, No. 3, 3181--3204 (2021; Zbl 1480.35278) Full Text: DOI
Addona, Davide; Angiuli, Luciana; Lorenzi, Luca Invariant measures for systems of Kolmogorov equations. (English) Zbl 1456.35031 J. Appl. Anal. Comput. 8, No. 3, 764-804 (2018). MSC: 35B40 35B41 35K45 37L40 47A35 PDFBibTeX XMLCite \textit{D. Addona} et al., J. Appl. Anal. Comput. 8, No. 3, 764--804 (2018; Zbl 1456.35031) Full Text: DOI arXiv
Angiuli, Luciana; Lorenzi, Luca; Mangino, Elisabetta M. On a perturbation of a class of Schrödinger systems in \(L^2\)-spaces. (English) Zbl 1405.35075 Note Mat. 38, No. 2, 125-138 (2018). MSC: 35K40 47D08 35K08 PDFBibTeX XMLCite \textit{L. Angiuli} et al., Note Mat. 38, No. 2, 125--138 (2018; Zbl 1405.35075) Full Text: DOI
Angiuli, Luciana; Lorenzi, Luca; Pallara, Diego \(L^{p}\)-estimates for parabolic systems with unbounded coefficients coupled at zero and first order. (English) Zbl 1383.35100 J. Math. Anal. Appl. 444, No. 1, 110-135 (2016). MSC: 35K45 35B45 PDFBibTeX XMLCite \textit{L. Angiuli} et al., J. Math. Anal. Appl. 444, No. 1, 110--135 (2016; Zbl 1383.35100) Full Text: DOI arXiv
Lorenzi, Luca; Lunardi, Alessandra; Schnaubelt, Roland Strong convergence of solutions to nonautonomous Kolmogorov equations. (English) Zbl 1342.35129 Proc. Am. Math. Soc. 144, No. 9, 3903-3917 (2016). Reviewer: Lubomira Softova (Aversa) MSC: 35K10 35K15 35B40 PDFBibTeX XMLCite \textit{L. Lorenzi} et al., Proc. Am. Math. Soc. 144, No. 9, 3903--3917 (2016; Zbl 1342.35129) Full Text: DOI arXiv
Kunze, Markus; Lorenzi, Luca; Rhandi, Abdelaziz Kernel estimates for nonautonomous Kolmogorov equations. (English) Zbl 1331.35153 Adv. Math. 287, 600-639 (2016). Reviewer: Vincenzo Vespri (Firenze) MSC: 35K10 35K08 37L05 37L40 60J60 PDFBibTeX XMLCite \textit{M. Kunze} et al., Adv. Math. 287, 600--639 (2016; Zbl 1331.35153) Full Text: DOI arXiv
Lorenzi, Luca; Rhandi, Abdelaziz On Schrödinger type operators with unbounded coefficients: generation and heat kernel estimates. (English) Zbl 1484.47074 J. Evol. Equ. 15, No. 1, 53-88 (2015). MSC: 47F05 47D08 47B12 35J10 35K08 35P15 PDFBibTeX XMLCite \textit{L. Lorenzi} and \textit{A. Rhandi}, J. Evol. Equ. 15, No. 1, 53--88 (2015; Zbl 1484.47074) Full Text: DOI arXiv
Kunze, Markus; Lorenzi, Luca; Rhandi, Abdelaziz Kernel estimates for nonautonomous Kolmogorov equations with potential term. (English) Zbl 1391.35176 Favini, Angelo (ed.) et al., New prospects in direct, inverse and control problems for evolution equations. Selected papers based on the presentations at the international conference “Differential equations, inverse problems and control theory, Cortona, Italy, June 16–21, 2013. Cham: Springer (ISBN 978-3-319-11405-7/hbk; 978-3-319-11406-4/ebook). Springer INdAM Series 10, 229-251 (2014). MSC: 35K08 PDFBibTeX XMLCite \textit{M. Kunze} et al., Springer INdAM Ser. 10, 229--251 (2014; Zbl 1391.35176) Full Text: DOI arXiv
Angiuli, Luciana; Lorenzi, Luca On the Dirichlet and Neumann evolution operators in \(\mathbb R_+^d\). (English) Zbl 1307.35068 Potential Anal. 41, No. 4, 1079-1110 (2014). MSC: 35B45 35K20 35B40 37L40 35K08 PDFBibTeX XMLCite \textit{L. Angiuli} and \textit{L. Lorenzi}, Potential Anal. 41, No. 4, 1079--1110 (2014; Zbl 1307.35068) Full Text: DOI arXiv
Angiuli, Luciana; Lorenzi, Luca; Lunardi, Alessandra Hypercontractivity and asymptotic behavior in nonautonomous Kolmogorov equations. (English) Zbl 1282.35052 Commun. Partial Differ. Equations 38, No. 12, 2049-2080 (2013). MSC: 35B40 35K15 35K70 PDFBibTeX XMLCite \textit{L. Angiuli} et al., Commun. Partial Differ. Equations 38, No. 12, 2049--2080 (2013; Zbl 1282.35052) Full Text: DOI arXiv
Lorenzi, Luca An identification problem for the Ornstein-Uhlenbeck operator. (English) Zbl 1279.35119 J. Inverse Ill-Posed Probl. 19, No. 2, 293-326 (2011). MSC: 35R30 35K15 PDFBibTeX XMLCite \textit{L. Lorenzi}, J. Inverse Ill-Posed Probl. 19, No. 2, 293--326 (2011; Zbl 1279.35119) Full Text: DOI
Delmonte, Simone; Lorenzi, Luca On a class of weakly coupled systems of elliptic operators with unbounded coefficients. (English) Zbl 1259.47053 Milan J. Math. 79, No. 2, 689-727 (2011). Reviewer: Thomas Hagen (Memphis) MSC: 47D06 35K40 35B45 35B65 PDFBibTeX XMLCite \textit{S. Delmonte} and \textit{L. Lorenzi}, Milan J. Math. 79, No. 2, 689--727 (2011; Zbl 1259.47053) Full Text: DOI
Angiuli, Luciana; Lorenzi, Luca Compactness and invariance properties of evolution operators associated with Kolmogorov operators with unbounded coefficients. (English) Zbl 1233.47040 J. Math. Anal. Appl. 379, No. 1, 125-149 (2011). Reviewer: Enrico Priola (Torino) MSC: 47F05 47A15 35K10 60J35 PDFBibTeX XMLCite \textit{L. Angiuli} and \textit{L. Lorenzi}, J. Math. Anal. Appl. 379, No. 1, 125--149 (2011; Zbl 1233.47040) Full Text: DOI arXiv
Albanese, A. A.; Lorenzi, L.; Manco, V. Mean ergodic theorems for bi-continuous semigroups. (English) Zbl 1221.47077 Semigroup Forum 82, No. 1, 141-171 (2011). Reviewer: Marjeta Kramar Fijavž (Ljubljana) MSC: 47D06 47A35 35J15 PDFBibTeX XMLCite \textit{A. A. Albanese} et al., Semigroup Forum 82, No. 1, 141--171 (2011; Zbl 1221.47077) Full Text: DOI arXiv
Lorenzi, Luca; Lunardi, Alessandra; Zamboni, Alessandro Asymptotic behavior in time periodic parabolic problems with unbounded coefficients. (English) Zbl 1207.47038 J. Differ. Equations 249, No. 12, 3377-3418 (2010). Reviewer: Rodica Luca Tudorache (Iaşi) MSC: 47D06 47F05 35B65 PDFBibTeX XMLCite \textit{L. Lorenzi} et al., J. Differ. Equations 249, No. 12, 3377--3418 (2010; Zbl 1207.47038) Full Text: DOI arXiv
Geissert, Matthias; Lorenzi, Luca; Schnaubelt, Roland \(L^p\)-regularity for parabolic operators with unbounded time-dependent coefficients. (English) Zbl 1191.47054 Ann. Mat. Pura Appl. (4) 189, No. 2, 303-333 (2010). Reviewer: Vincenzo Vespri (Firenze) MSC: 47D06 47F05 35B65 35J60 PDFBibTeX XMLCite \textit{M. Geissert} et al., Ann. Mat. Pura Appl. (4) 189, No. 2, 303--333 (2010; Zbl 1191.47054) Full Text: DOI arXiv
Kunze, Markus; Lorenzi, Luca; Lunardi, Alessandra Nonautonomous Kolmogorov parabolic equations with unbounded coefficients. (English) Zbl 1184.35150 Trans. Am. Math. Soc. 362, No. 1, 169-198 (2010). MSC: 35K15 37L40 35B45 PDFBibTeX XMLCite \textit{M. Kunze} et al., Trans. Am. Math. Soc. 362, No. 1, 169--198 (2010; Zbl 1184.35150) Full Text: DOI arXiv
Lorenzi, Luca; Zamboni, Alessandro Cores for parabolic operators with unbounded coefficients. (English) Zbl 1186.35091 J. Differ. Equations 246, No. 7, 2724-2761 (2009). Reviewer: Behzad Djafari-Rouhani (El-Paso) MSC: 35K15 37L40 PDFBibTeX XMLCite \textit{L. Lorenzi} and \textit{A. Zamboni}, J. Differ. Equations 246, No. 7, 2724--2761 (2009; Zbl 1186.35091) Full Text: DOI
Albanese, Angela; Lorenzi, Luca; Mangino, Elisabetta \(L^p\)-uniqueness for elliptic operators with unbounded coefficients in \(\mathbb R^N\). (English) Zbl 1161.47030 J. Funct. Anal. 256, No. 4, 1238-1257 (2009). Reviewer: Michael Perelmuter (Kyïv) MSC: 47F05 47D06 PDFBibTeX XMLCite \textit{A. Albanese} et al., J. Funct. Anal. 256, No. 4, 1238--1257 (2009; Zbl 1161.47030) Full Text: DOI
Hieber, Matthias; Lorenzi, Luca; Prüss, Jan; Rhandi, Abdelaziz; Schnaubelt, Roland Global properties of generalized Ornstein–Uhlenbeck operators on \(L^p(\mathbb R^N, \mathbb R^N)\)with more than linearly growing coefficients. (English) Zbl 1162.47034 J. Math. Anal. Appl. 350, No. 1, 100-121 (2009). Reviewer: Stepan Agop Tersian (Rousse) MSC: 47D03 35J15 47N20 PDFBibTeX XMLCite \textit{M. Hieber} et al., J. Math. Anal. Appl. 350, No. 1, 100--121 (2009; Zbl 1162.47034) Full Text: DOI
Lorenzi, Luca Estimates of the derivatives for a class of parabolic degenerate operators with unbounded coefficients in \(\mathbb R^N\). (English) Zbl 1107.35071 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 4, No. 2, 255-293 (2005). Reviewer: Dian K. Palagachev (Bari) MSC: 35K65 35B65 47D06 35B45 PDFBibTeX XMLCite \textit{L. Lorenzi}, Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 4, No. 2, 255--293 (2005; Zbl 1107.35071) Full Text: EuDML
Bertoldi, Marcello; Lorenzi, Luca Estimates of the derivatives for parabolic operators with unbounded coefficients. (English) Zbl 1065.35077 Trans. Am. Math. Soc. 357, No. 7, 2627-2664 (2005). Reviewer: Lubomira Softova (Bari) MSC: 35B45 35B65 47D06 35K20 PDFBibTeX XMLCite \textit{M. Bertoldi} and \textit{L. Lorenzi}, Trans. Am. Math. Soc. 357, No. 7, 2627--2664 (2005; Zbl 1065.35077) Full Text: DOI