Peter Poláčik

2.9k total citations
92 papers, 1.8k citations indexed

About

Peter Poláčik is a scholar working on Applied Mathematics, Computational Theory and Mathematics and Control and Systems Engineering. According to data from OpenAlex, Peter Poláčik has authored 92 papers receiving a total of 1.8k indexed citations (citations by other indexed papers that have themselves been cited), including 66 papers in Applied Mathematics, 59 papers in Computational Theory and Mathematics and 50 papers in Control and Systems Engineering. Recurrent topics in Peter Poláčik's work include Advanced Mathematical Modeling in Engineering (59 papers), Stability and Controllability of Differential Equations (50 papers) and Nonlinear Partial Differential Equations (47 papers). Peter Poláčik is often cited by papers focused on Advanced Mathematical Modeling in Engineering (59 papers), Stability and Controllability of Differential Equations (50 papers) and Nonlinear Partial Differential Equations (47 papers). Peter Poláčik collaborates with scholars based in United States, Slovakia and Japan. Peter Poláčik's co-authors include Pavol Quíttner, Philippe Souplet, V. Hutson, Konstantin Mischaikow, Eiji Yanagida, P. Brunovský, Peter Heß, Hiroshi Matano, Krzysztof P. Rybakowski and Марек Фила and has published in prestigious journals such as Transactions of the American Mathematical Society, Archive for Rational Mechanics and Analysis and Journal of Differential Equations.

In The Last Decade

Peter Poláčik

85 papers receiving 1.6k citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Peter Poláčik United States 24 1.2k 902 734 484 466 92 1.8k
Eiji Yanagida Japan 24 1.1k 1.0× 723 0.8× 488 0.7× 605 1.3× 311 0.7× 120 1.8k
Jean‐Michel Roquejoffre France 24 778 0.7× 465 0.5× 228 0.3× 315 0.7× 765 1.6× 72 1.6k
Peter Takáč Germany 20 746 0.6× 672 0.7× 238 0.3× 407 0.8× 195 0.4× 88 1.2k
Julián López-Gómez Spain 27 1.9k 1.7× 1.3k 1.4× 395 0.5× 523 1.1× 975 2.1× 155 2.8k
Wei-Ming Ni United States 18 969 0.8× 708 0.8× 164 0.2× 371 0.8× 664 1.4× 21 1.7k
Jingxue Yin China 19 1.4k 1.2× 1.1k 1.2× 560 0.8× 646 1.3× 199 0.4× 167 1.9k
Izumi Takagi Japan 16 1.2k 1.0× 1.2k 1.3× 178 0.2× 517 1.1× 524 1.1× 29 2.2k
Pavol Quíttner Slovakia 23 1.5k 1.3× 1.2k 1.3× 701 1.0× 765 1.6× 120 0.3× 68 2.0k
António Suárez Spain 17 545 0.5× 433 0.5× 305 0.4× 140 0.3× 236 0.5× 105 1.1k
Philippe Souplet France 30 2.7k 2.3× 1.8k 2.0× 968 1.3× 1.2k 2.6× 280 0.6× 103 3.5k

Countries citing papers authored by Peter Poláčik

Since Specialization
Citations

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

Fields of papers citing papers by Peter Poláčik

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Peter Poláčik

This figure shows the co-authorship network connecting the top 25 collaborators of Peter Poláčik. A scholar is included among the top collaborators of Peter Poláčik 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 Peter Poláčik. Peter Poláčik 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.
Poláčik, Peter. (2020). Entire solutions and a Liouville theorem for a class of parabolic equations on the real line. Proceedings of the American Mathematical Society. 148(7). 2997–3008. 5 indexed citations
2.
Poláčik, Peter, et al.. (2014). Equilibria with a nontrivial nodal set and the dynamics of parabolic equations on symmetric domains. Journal of Differential Equations. 258(6). 1859–1888.
3.
Poláčik, Peter & Susanna Terracini. (2014). Nonnegative solutions with a nontrivial nodal set for elliptic equations on smooth symmetric domains. Proceedings of the American Mathematical Society. 142(4). 1249–1259. 2 indexed citations
4.
Poláčik, Peter, et al.. (2012). On asymptotically symmetric parabolic equations. Networks and Heterogeneous Media. 7(4). 673–689. 1 indexed citations
5.
Poláčik, Peter. (2012). Positivity and symmetry of nonnegative solutions of semilinear elliptic equations on planar domains. Journal of Functional Analysis. 262(10). 4458–4474. 1 indexed citations
6.
Poláčik, Peter, et al.. (2011). Convergence to a steady state for asymptotically autonomous semilinear heat equations onRN. Journal of Differential Equations. 251(7). 1903–1922. 16 indexed citations
7.
Lou, Yuan, Salomé Martínez, & Peter Poláčik. (2006). Loops and branches of coexistence states in a Lotka–Volterra competition model. Journal of Differential Equations. 230(2). 720–742. 34 indexed citations
8.
9.
Poláčik, Peter & Eiji Yanagida. (2004). A Liouville property and quasiconvergence for a semilinear heat equation. Journal of Differential Equations. 208(1). 194–214. 25 indexed citations
10.
Poláčik, Peter. (2002). Some common asymptotic properties of semilinear parabolic, hyperbolic and elliptic equations. Mathematica Bohemica. 127(2). 301–310. 3 indexed citations
11.
Poláčik, Peter. (2001). Morse indices and bifurcations of positive solutions of Δu + f(u) = 0 on RN. Indiana University Mathematics Journal. 50(3). 1407–1432. 5 indexed citations
12.
Poláčik, Peter. (1999). Persistent Saddle Connections in a Class of Reaction–Diffusion Equations. Journal of Differential Equations. 156(1). 182–210. 2 indexed citations
13.
Poláčik, Peter & Krzysztof P. Rybakowski. (1996). Nonconvergent Bounded Trajectories in Semilinear Heat Equations. Journal of Differential Equations. 124(2). 472–494. 49 indexed citations
14.
Poláčik, Peter & Krzysztof P. Rybakowski. (1995). Imbedding vector fields in scalar parabolic Dirichlet $BVP_s$. French digital mathematics library (Numdam). 22(4). 737–749. 5 indexed citations
15.
Haraux, Alain & Peter Poláčik. (1992). CONVERGENCE TO A POSITIVE EQUILIBRIUM FOR SOME NONLINEAR EVOLUTION EQUATIONS IN A BALL. 61(2). 129–141. 32 indexed citations
16.
Poláčik, Peter. (1991). Realization of any finite jet in a scalar semilinear parabolic equation on the ball in $\mathbb{R}^3$. French digital mathematics library (Numdam). 18(1). 83–102. 2 indexed citations
17.
Brunovský, P., Xavier Mora, Peter Poláčik, & J. Solà‐Morales. (1991). Asymptotic behavior of solutions of semilinear elliptic equations on an unbounded strip.. 60(2). 163–183. 14 indexed citations
18.
Poláčik, Peter. (1991). Complicated dynamics in scalar semilinear parabolic equations in higher space dimension. Journal of Differential Equations. 89(2). 244–271. 23 indexed citations
19.
Poláčik, Peter. (1990). Existence of unstable sets for invariant sets in compact semiflows. Applications in order-preserving semiflows. Commentationes Mathematicae Universitatis Carolinae. 31(2). 263–276. 4 indexed citations
20.
Poláčik, Peter. (1989). Convergence in smooth strongly monotone flows defined by semilinear parabolic equations. Journal of Differential Equations. 79(1). 89–110. 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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