Марек Фила

2.3k total citations
88 papers, 1.6k citations indexed

About

Марек Фила is a scholar working on Applied Mathematics, Computational Theory and Mathematics and Control and Systems Engineering. According to data from OpenAlex, Марек Фила has authored 88 papers receiving a total of 1.6k indexed citations (citations by other indexed papers that have themselves been cited), including 75 papers in Applied Mathematics, 67 papers in Computational Theory and Mathematics and 44 papers in Control and Systems Engineering. Recurrent topics in Марек Фила's work include Nonlinear Partial Differential Equations (68 papers), Advanced Mathematical Modeling in Engineering (66 papers) and Stability and Controllability of Differential Equations (44 papers). Марек Фила is often cited by papers focused on Nonlinear Partial Differential Equations (68 papers), Advanced Mathematical Modeling in Engineering (66 papers) and Stability and Controllability of Differential Equations (44 papers). Марек Фила collaborates with scholars based in Slovakia, Japan and Germany. Марек Фила's co-authors include Pavol Quíttner, Howard A. Levine, Michel Chipot, Miroslav Chlebík, Philippe Souplet, Eiji Yanagida, Michael Winkler, Itai Shafrir, Bernhard Kawohl and Gary M. Lieberman 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

Марек Фила

84 papers receiving 1.3k citations

Peers

Марек Фила

CTM

CSE

Anı́bal Rodrı́guez-Bernal Spain

Sergey Shmarev Spain

Pedro Marín-Rubio Spain

Kanishka Perera United States

Noemí Wolanski Argentina

Zhuoqun Wu China

Eugenio Sinestrari Italy

Jan W. Cholewa Poland

Marius Ghergu Romania

Sergiu Aizicovici United States

Anı́bal Rodrı́guez-Bernal Spain

Марек Фила

601 ×0.5

770 ×0.7

CTM

779 ×1.1

CSE

342 ×0.6

129 ×0.6

Citations per year, relative to Марек Фила Марек Фила (= 1×) peers Anı́bal Rodrı́guez-Bernal

Countries citing papers authored by Марек Фила

Since Specialization

Citations

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

Fields of papers citing papers by Марек Фила

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Марек Фила

This figure shows the co-authorship network connecting the top 25 collaborators of Марек Фила. A scholar is included among the top collaborators of Марек Фила 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 Марек Фила. Марек Фила 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

Фила, Марек, et al.. (2021). Solutions with snaking singularities for the fast diffusion equation. Transactions of the American Mathematical Society. 374(12). 8775–8792. 2 indexed citations

Фила, Марек & Johannes Lankeit. (2020). Lack of smoothing for bounded solutions of a semilinear parabolic equation. SHILAP Revista de lepidopterología. 5 indexed citations

Фила, Марек, Kazuhiro Ishige, & Tatsuki Kawakami. (2015). Minimal solutions of a semilinear elliptic equation with a dynamical boundary condition. Journal de Mathématiques Pures et Appliquées. 105(6). 788–809. 4 indexed citations

Фила, Марек & John R. King. (2012). Grow up and slow decay in the critical Sobolev case. Networks and Heterogeneous Media. 7(4). 661–671. 11 indexed citations

Фила, Марек, et al.. (2008). Single-point blow-up on the boundary where the zero Dirichlet boundary condition is imposed. Journal of the European Mathematical Society. 10(1). 105–132. 2 indexed citations

Фила, Марек, John R. King, Michael Winkler, & Eiji Yanagida. (2007). Linear behaviour of solutions of a superlinear heat equation. Journal of Mathematical Analysis and Applications. 340(1). 401–409. 11 indexed citations

Фила, Марек, et al.. (2006). Convergence to a singular steady state of a parabolic equation with gradient blow-up. Applied Mathematics Letters. 20(5). 578–582. 13 indexed citations

Chlebík, Miroslav & Марек Фила. (2000). Some recent results on blow-up on the boundary for the heat equation. Figshare. 52(1). 61–71. 16 indexed citations

Фила, Марек & Pavol Quíttner. (1999). The Blow-Up Rate for a Semilinear Parabolic System. Journal of Mathematical Analysis and Applications. 238(2). 468–476. 43 indexed citations

10.

Chipot, Michel, Miroslav Chlebík, Марек Фила, & Itai Shafrir. (1998). Existence of Positive Solutions of a Semilinear Elliptic Equation in Rn+with a Nonlinear Boundary Condition. Journal of Mathematical Analysis and Applications. 223(2). 429–471. 56 indexed citations

11.

Фила, Марек & Howard A. Levine. (1997). On the Boundedness of Global Solutions of Abstract Semilinear Parabolic Equations. Journal of Mathematical Analysis and Applications. 216(2). 654–666. 13 indexed citations

12.

Фила, Марек, Howard A. Levine, & Juan Luís Vázquez. (1993). Stabilization of solutions of weakly singular quenching problems. Proceedings of the American Mathematical Society. 119(2). 555–559. 20 indexed citations

13.

Фила, Марек, Howard A. Levine, & Juan Luís Vázquez. (1993). Stabilization of Solutions of Weakly Singular Quenching Problems. Proceedings of the American Mathematical Society. 119(2). 555–555. 5 indexed citations

14.

Фила, Марек. (1992). Boundedness of global solutions of nonlinear diffusion equations. Journal of Differential Equations. 98(2). 226–240. 42 indexed citations

15.

Фила, Марек. (1991). Remarks on blow up for a nonlinear parabolic equation with a gradient term. Proceedings of the American Mathematical Society. 111(3). 795–795. 40 indexed citations

16.

Фила, Марек. (1991). Remarks on Blow Up for a Nonlinear Parabolic Equation with a Gradient Term. Proceedings of the American Mathematical Society. 111(3). 795–795. 10 indexed citations

17.

Фила, Марек & Bernhard Kawohl. (1990). Is quenching in infinite time possible?. Quarterly of Applied Mathematics. 48(3). 531–534. 16 indexed citations

18.

Фила, Марек, et al.. (1990). Global behaviour of solutions to some nonlinear diffusion equations. Czechoslovak Mathematical Journal. 40(2). 226–238. 3 indexed citations

19.

Фила, Марек, et al.. (1989). A blow-up result for nonlinear diffusion equations. Mathematica Slovaca. 39(3). 331–346. 3 indexed citations

20.

Фила, Марек. (1989). Boundedness of global solutions for the heat equation with nonlinear boundary conditions. Commentationes Mathematicae Universitatis Carolinae. 30(3). 479–484. 42 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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