Luca Lorenzi

935 total citations
69 papers, 515 citations indexed

About

Luca Lorenzi is a scholar working on Computational Theory and Mathematics, Applied Mathematics and Mathematical Physics. According to data from OpenAlex, Luca Lorenzi has authored 69 papers receiving a total of 515 indexed citations (citations by other indexed papers that have themselves been cited), including 45 papers in Computational Theory and Mathematics, 43 papers in Applied Mathematics and 37 papers in Mathematical Physics. Recurrent topics in Luca Lorenzi's work include Advanced Mathematical Modeling in Engineering (45 papers), Numerical methods in inverse problems (23 papers) and Nonlinear Partial Differential Equations (21 papers). Luca Lorenzi is often cited by papers focused on Advanced Mathematical Modeling in Engineering (45 papers), Numerical methods in inverse problems (23 papers) and Nonlinear Partial Differential Equations (21 papers). Luca Lorenzi collaborates with scholars based in Italy, France and Germany. Luca Lorenzi's co-authors include Alessandra Lunardi, Abdelaziz Rhandi, Simona Fornaro, Markus Kunze, Angela A. Albanese, Rodolphe Thiébaut, Josephus Hulshof, Matthias Hieber, Bálint Farkas and Roland Schnaubelt and has published in prestigious journals such as SHILAP Revista de lepidopterología, Journal of Mathematical Analysis and Applications and Transactions of the American Mathematical Society.

In The Last Decade

Luca Lorenzi

64 papers receiving 474 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Luca Lorenzi Italy 12 286 268 236 88 73 69 515
András Bátkai Hungary 11 216 0.8× 240 0.9× 281 1.2× 265 3.0× 33 0.5× 24 516
Abdelaziz Rhandi Italy 16 418 1.5× 432 1.6× 317 1.3× 273 3.1× 100 1.4× 75 797
Yanbin Tang China 13 252 0.9× 179 0.7× 108 0.5× 195 2.2× 41 0.6× 62 499
Hyeong‐Ohk Bae South Korea 16 535 1.9× 270 1.0× 190 0.8× 264 3.0× 36 0.5× 64 729
Emmanuel Chasseigne France 12 605 2.1× 234 0.9× 450 1.9× 120 1.4× 89 1.2× 37 781
Zhengce Zhang China 12 266 0.9× 105 0.4× 257 1.1× 104 1.2× 26 0.4× 73 459
Silvia Romanelli Italy 14 244 0.9× 291 1.1× 342 1.4× 202 2.3× 23 0.3× 48 494
Pablo Amster Argentina 14 350 1.2× 117 0.4× 193 0.8× 118 1.3× 45 0.6× 96 632
Annette Grabosch Germany 6 418 1.5× 396 1.5× 265 1.1× 247 2.8× 31 0.4× 8 783
Sandro Merino Switzerland 8 158 0.6× 57 0.2× 110 0.5× 85 1.0× 50 0.7× 14 303

Countries citing papers authored by Luca Lorenzi

Since Specialization
Citations

This map shows the geographic impact of Luca Lorenzi's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Luca Lorenzi with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Luca Lorenzi more than expected).

Fields of papers citing papers by Luca Lorenzi

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Luca Lorenzi. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Luca Lorenzi. The network helps show where Luca Lorenzi may publish in the future.

Co-authorship network of co-authors of Luca Lorenzi

This figure shows the co-authorship network connecting the top 25 collaborators of Luca Lorenzi. A scholar is included among the top collaborators of Luca Lorenzi based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Luca Lorenzi. Luca Lorenzi is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Lorenzi, Luca, et al.. (2024). L maximal regularity for vector-valued Schrödinger operators. Journal de Mathématiques Pures et Appliquées. 187. 171–206.
2.
Lorenzi, Luca, et al.. (2023). Generation of semigroups associated to strongly coupled elliptic operators in Lp(Rd;Rm). Journal of Differential Equations. 383. 324–360. 1 indexed citations
3.
Imanuvilov, Oleg, Luca Lorenzi, & Masahiro Yamamoto. (2022). Carleman estimate for the Navier–Stokes equations and applications. Inverse Problems. 38(8). 85006–85006. 2 indexed citations
4.
Lorenzi, Luca, et al.. (2017). Hypercontractivity, supercontractivity, ultraboundedness and stability in semilinear problems. SHILAP Revista de lepidopterología. 2 indexed citations
5.
Lorenzi, Alfredo, Luca Lorenzi, & Masahiro Yamamoto. (2017). Continuous dependence and uniqueness for lateral Cauchy problems for linear integro-differential parabolic equations. Journal of Inverse and Ill-Posed Problems. 25(5). 617–631.
6.
Lorenzi, Luca, et al.. (2016). L-estimates for parabolic systems with unbounded coefficients coupled at zero and first order. Journal of Mathematical Analysis and Applications. 444(1). 110–135. 9 indexed citations
7.
Kunze, Markus, Luca Lorenzi, & Abdelaziz Rhandi. (2015). Kernel estimates for nonautonomous Kolmogorov equations. Advances in Mathematics. 287. 600–639. 5 indexed citations
8.
Lorenzi, Luca, et al.. (2014). Non autonomous parabolic problems with unbounded coefficients in unbounded domains. Advances in Differential Equations. 20. 1067–1118. 2 indexed citations
9.
Hu, Lina, et al.. (2013). Asymptotic Analysis in a Gas-Solid Combustion Model with Pattern Formation. Chinese Annals of Mathematics Series B. 34(1). 65–88. 4 indexed citations
10.
Lorenzi, Luca. (2011). An identification problem for the Ornstein–Uhlenbeck operator. Journal of Inverse and Ill-Posed Problems. 19(2). 293–326. 2 indexed citations
11.
Lorenzi, Luca, et al.. (2010). Asymptotic behavior in time periodic parabolic problems with unbounded coefficients. Journal of Differential Equations. 249(12). 3377–3418. 11 indexed citations
12.
Kunze, Markus, Luca Lorenzi, & Alessandra Lunardi. (2009). Nonautonomous Kolmogorov parabolic equations with unbounded coefficients. Transactions of the American Mathematical Society. 362(1). 169–198. 25 indexed citations
13.
Hulshof, Josephus, et al.. (2009). Stability of the travelling wave in a 2D weakly nonlinear Stefan problem. Kinetic and Related Models. 2(1). 109–134. 6 indexed citations
14.
Albanese, Angela A., et al.. (2008). Lp-uniqueness for elliptic operators with unbounded coefficients inRN. Journal of Functional Analysis. 256(4). 1238–1257. 14 indexed citations
15.
Hieber, Matthias, Luca Lorenzi, & Abdelaziz Rhandi. (2007). Second-order parabolic equations with unbounded coefficients in exterior domains. Differential and Integral Equations. 20(11). 4 indexed citations
16.
Lorenzi, Luca, et al.. (2005). Estimates of the derivatives for parabolic operators with unbounded coefficients. Transactions of the American Mathematical Society. 357(7). 2627–2664. 27 indexed citations
17.
Favini, Angelo & Luca Lorenzi. (2004). A Singular Parabolic Boundary Value Problem in Weighted L p -spaces. Semigroup Forum. 68(1). 137–153. 1 indexed citations
18.
Lorenzi, Luca & Alessandra Lunardi. (2003). Stability in a two-dimensional free boundary combustion model. Nonlinear Analysis. 53(2). 227–276. 3 indexed citations
19.
Lorenzi, Luca. (2000). Optimal Schauder Estimates for Parabolic Problems with Data Measurable with Respect to Time. SIAM Journal on Mathematical Analysis. 32(3). 588–615. 11 indexed citations
20.
Lorenzi, Luca. (1999). An Identification Problem for an Ultraparabolic Integrodifferential Equation. Journal of Mathematical Analysis and Applications. 234(2). 417–456. 3 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

Explore authors with similar magnitude of impact

Breakdown of academic impact, for papers by András Bátkai Breakdown of academic impact, for papers by Abdelaziz Rhandi Breakdown of academic impact, for papers by Yanbin Tang Breakdown of academic impact, for papers by Hyeong‐Ohk Bae Breakdown of academic impact, for papers by Emmanuel Chasseigne Breakdown of academic impact, for papers by Zhengce Zhang Breakdown of academic impact, for papers by Silvia Romanelli Breakdown of academic impact, for papers by Pablo Amster Breakdown of academic impact, for papers by Annette Grabosch Breakdown of academic impact, for papers by Sandro Merino
Rankless by CCL
2026