Luis Escauriaza

2.8k total citations · 1 hit paper
47 papers, 1.6k citations indexed

About

Luis Escauriaza is a scholar working on Mathematical Physics, Applied Mathematics and Computational Theory and Mathematics. According to data from OpenAlex, Luis Escauriaza has authored 47 papers receiving a total of 1.6k indexed citations (citations by other indexed papers that have themselves been cited), including 34 papers in Mathematical Physics, 34 papers in Applied Mathematics and 30 papers in Computational Theory and Mathematics. Recurrent topics in Luis Escauriaza's work include Advanced Mathematical Modeling in Engineering (29 papers), Numerical methods in inverse problems (19 papers) and Nonlinear Partial Differential Equations (15 papers). Luis Escauriaza is often cited by papers focused on Advanced Mathematical Modeling in Engineering (29 papers), Numerical methods in inverse problems (19 papers) and Nonlinear Partial Differential Equations (15 papers). Luis Escauriaza collaborates with scholars based in Spain, United States and Russia. Luis Escauriaza's co-authors include Vladimír Šverák, G. Serëgin, Luis Vega, Carlos E. Kenig, Gustavo Ponce, Eugene B. Fabes, Javier Fernández, Gregory C. Verchota, Jin Keun Seo and Gengsheng Wang and has published in prestigious journals such as Communications in Mathematical Physics, Communications on Pure and Applied Mathematics and Journal of Mathematical Analysis and Applications.

In The Last Decade

Luis Escauriaza

45 papers receiving 1.5k citations

Hit Papers

align trajectories

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

L _3,∞ -solutions of the Navier-Stokes equations and backward uniqueness

2003 319 citations Luis Escauriaza, G. Serëgin et al. Russian Mathematical Surveys profile →

Peers

Luis Escauriaza

MP

AM

CTM

CSE

CM

Philippe Benilán France

Roland Schnaubelt Germany

Sergey Shmarev Spain

Gerd Grubb Denmark

Wolf von Wahl Germany

Robert Denk Germany

Hongjie Dong United States

S. Kamin Israel

Лаурент Верон France

Chengkui Zhong China

Philippe Benilán France

Luis Escauriaza

775 ×0.7

MP

1.4k ×1.3

AM

1.2k ×1.6

CTM

347 ×0.6

CSE

151 ×1.1

CM

Citations per year, relative to Luis Escauriaza Luis Escauriaza (= 1×) peers Philippe Benilán

Countries citing papers authored by Luis Escauriaza

Since Specialization

Citations

This map shows the geographic impact of Luis Escauriaza'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 Luis Escauriaza with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Luis Escauriaza more than expected).

Fields of papers citing papers by Luis Escauriaza

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Luis Escauriaza. 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 Luis Escauriaza. The network helps show where Luis Escauriaza may publish in the future.

Co-authorship network of co-authors of Luis Escauriaza

This figure shows the co-authorship network connecting the top 25 collaborators of Luis Escauriaza. A scholar is included among the top collaborators of Luis Escauriaza 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 Luis Escauriaza. Luis Escauriaza is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

1.

Escauriaza, Luis, et al.. (2017). Analyticity of Solutions to Parabolic Evolutions and Applications. SIAM Journal on Mathematical Analysis. 49(5). 4064–4092. 21 indexed citations

2.

Escauriaza, Luis, et al.. (2015). Observation from measurable sets for parabolic analytic evolutions and applications. Journal de Mathématiques Pures et Appliquées. 104(5). 837–867. 22 indexed citations

3.

Escauriaza, Luis, et al.. (2014). Observability inequalities and measurable sets. Journal of the European Mathematical Society. 16(11). 2433–2475. 70 indexed citations

4.

Escauriaza, Luis, et al.. (2012). Null-control and measurable sets. ESAIM Control Optimisation and Calculus of Variations. 19(1). 239–254. 29 indexed citations

5.

Fanelli, Luca, Luis Vega, & Luis Escauriaza. (2012). Carleman estimates and necessary conditions for the existence of waveguides. Indiana University Mathematics Journal. 61(1). 15–30. 2 indexed citations

6.

Cal, Jesús de la, et al.. (2009). A general multidimensional Hermite–Hadamard type inequality. Journal of Mathematical Analysis and Applications. 356(2). 659–663. 29 indexed citations

7.

Alessandrini, Giovanni & Luis Escauriaza. (2007). Null-controllability of one-dimensional parabolic equations. ESAIM Control Optimisation and Calculus of Variations. 14(2). 284–293. 35 indexed citations

8.

Escauriaza, Luis, Carlos E. Kenig, Gustavo Ponce, & Luis Vega. (2006). On uniqueness properties of solutions of the k-generalized KdV equations. Journal of Functional Analysis. 244(2). 504–535. 54 indexed citations

9.

Escauriaza, Luis, Carlos E. Kenig, Gustavo Ponce, & Luis Vega. (2006). Decay at infinity of caloric functions within characteristic hyperplanes. Mathematical Research Letters. 13(3). 441–453. 11 indexed citations

10.

Escauriaza, Luis. (2005). Unique continuation for the system of elasticity in the plane. Proceedings of the American Mathematical Society. 134(7). 2015–2018. 8 indexed citations

11.

Escauriaza, Luis & Marius Mitrea. (2004). Transmission problems and spectral theory for singular integral operators on Lipschitz domains. Journal of Functional Analysis. 216(1). 141–171. 35 indexed citations

12.

Escauriaza, Luis, G. Serëgin, & Vladimír Šverák. (2003). L _3,∞ -solutions of the Navier-Stokes equations and backward uniqueness. Russian Mathematical Surveys. 58(2). 211–250. 319 indexed citations breakdown →

13.

Escauriaza, Luis & Javier Fernández. (2003). Unique continuation for parabolic operators. Arkiv för matematik. 41(1). 35–60. 60 indexed citations

14.

Escauriaza, Luis, et al.. (2003). $L_{3,\infty}$-решения уравнений Навье - Стокса и обратная единственность. Успехи математических наук. 58(2). 3–44. 64 indexed citations

15.

Escauriaza, Luis, G. Serëgin, & Vladimír Šverák. (2003). Backward Uniqueness for Parabolic Equations. Archive for Rational Mechanics and Analysis. 169(2). 147–157. 128 indexed citations

16.

Escauriaza, Luis & Luis Vega. (2001). Carleman inequalities and the heat operator II. Indiana University Mathematics Journal. 50(3). 0–0. 34 indexed citations

17.

Escauriaza, Luis & Jin Keun Seo. (1993). Regularity Properties of Solutions to Transmission Problems. Transactions of the American Mathematical Society. 338(1). 405–405. 9 indexed citations

18.

Escauriaza, Luis & Carlos E. Kenig. (1993). Area integral estimates for solutions and normalized adjoint solutions to nondivergence form elliptic equations. Arkiv för matematik. 31(2). 275–296. 7 indexed citations

19.

Escauriaza, Luis & Jin Keun Seo. (1993). Regularity properties of solutions to transmission problems. Transactions of the American Mathematical Society. 338(1). 405–430. 33 indexed citations

20.

Escauriaza, Luis, Eugene B. Fabes, & Gregory C. Verchota. (1992). On a regularity theorem for weak solutions to transmission problems with internal Lipschitz boundaries. Proceedings of the American Mathematical Society. 115(4). 1069–1076. 64 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.

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