Juan Luís Vázquez

16.4k citations
262 papers · 9.0k indexed · 3 hit papers · h-index 46

Juan Luís Vázquez

260 papers receiving 8.2k citations

Hit Papers

The Porous Medium Equation: Mathematical Theory6031995202620052015200400600

Peers

Juan Luís Vázquez
Comparison fields: 5 of 97
  • Applied Mathematics 6.6k
  • Mathematical Physics 3.4k
  • Computational Theory and Mathematics 5.2k
  • Numerical Analysis 1.3k
  • Modeling and Simulation 1.0k
Replace Herbert Amann with:
Herbert Amann Switzerland
V. A. Solonnikov Russia
Eberhard Zeidler Germany
Jacques Louis Lions France
O. A. Ladyzhenskai︠a︡ Russia
M. A. Krasnosel’skii Russia
Yoshikazu Giga Japan
James Serrin United States
Luis Caffarelli United States
A. Pazy Israel
Juan Luís Vázquez relative to Herbert Amann Switzerland Herbert Amann's profile →
Citations per field
00.5×1.5×2.5×
Herbert Amann · 1×
Citations per year

Countries citing papers authored by Juan Luís Vázquez

Since Specialization
Citations

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

Fields of papers citing papers by Juan Luís Vázquez

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Juan Luís Vázquez. 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 Juan Luís Vázquez. The network helps show where Juan Luís Vázquez may publish in the future.

Co-authorship network

The 25 scholars most cited alongside Juan Luís Vázquez, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.

Border = papers with Juan Luís Vázquez Line = papers co-authored together Juan Luís Vázquez links everyone, so they are left out of the graph.

All Works

20 of 20 papers shown
#Work
1 20251
2 20240
3
Three representations of the fractional p-Laplacian:semigroup, extension and Balakrishnan formulas
20212
4 202130
5 202120
6
Separatrices in the Hamilton-Jacobi formalism of inflaton models.
20208
7 20208
8 202011
9 201718
10 201733
11 20165
12 20153
13 201519
14 201497
15
A mixed semilinear parabolic problem from combustion theory
20014
16
Solutions of nonlinear parabolic equations without growth restrictions on the data
200122
17 199531
18 199579
19 199320
20 19935

About Juan Luís Vázquez

Juan Luís Vázquez is a scholar working on Applied Mathematics, Mathematical Physics, Computational Theory and Mathematics, Numerical Analysis and Modeling and Simulation, having authored 262 papers that have together received 9.0k indexed citations. Recurring topics across this work include Advanced Mathematical Modeling in Engineering (159 papers), Nonlinear Partial Differential Equations (156 papers), Advanced Mathematical Physics Problems (54 papers), Differential Equations and Numerical Methods (43 papers), Stability and Controllability of Differential Equations (37 papers), Numerical methods in inverse problems (31 papers), Geometric Analysis and Curvature Flows (30 papers) and Navier-Stokes equation solutions (27 papers). The work is most often cited by research in Applied Mathematics (6.6k citations), Mathematical Physics (3.4k citations), Computational Theory and Mathematics (5.2k citations), Numerical Analysis (1.3k citations) and Modeling and Simulation (1.0k citations). Juan Luís Vázquez has collaborated with scholars based in Spain, Italy and United Kingdom. Frequent co-authors include Victor A. Galaktionov, Enrique Zuazua, Matteo Bonforte, Arturo de Pablo, Haı̈m Brezis, Juan R. Esteban, Ana Alonso Rodríguez, Lucio Boccardo, Thierry Gallouët and S. Kamin. Their work appears in journals such as Transactions of the American Mathematical Society, Communications in Partial Differential Equations, Archive for Rational Mechanics and Analysis, Journal of Differential Equations and Nonlinear Analysis.

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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