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Analysis of institutional authors

Bonforte MCorresponding Author

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The fractional porous medium equation on the hyperbolic space

Publicated to:CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS. 59 (5): 169- - 2020-10-01 59(5), DOI: 10.1007/s00526-020-01817-2

Authors: Berchio E; Bonforte M; Ganguly D; Grillo G

Affiliations

CSIC-UAM-UC3M-UCM - Instituto de Ciencias Matematicas (ICMAT) - Author
Indian Institute of Technology Delhi - Author
Politecnico di Milano - Author
Politecnico di Torino - Author
Universidad Autónoma de Madrid - Author
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Abstract

© 2020, Springer-Verlag GmbH Germany, part of Springer Nature. We consider a nonlinear degenerate parabolic equation of porous medium type, whose diffusion is driven by the (spectral) fractional Laplacian on the hyperbolic space. We provide existence results for solutions, in an appropriate weak sense, for data belonging either to the usual Lp spaces or to larger (weighted) spaces determined either in terms of a ground state of ΔHN, or of the (fractional) Green’s function. For such solutions, we also prove different kind of smoothing effects, in the form of quantitative L1- L∞ estimates. To the best of our knowledge, this seems the first time in which the fractional porous medium equation has been treated on non-compact, geometrically non-trivial examples.

Keywords

AnalysisApplied mathematicsMatemática / probabilidade e estatísticaMathematicsMathematics, applied

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS due to its progression and the good impact it has achieved in recent years, according to the agency WoS (JCR), it has become a reference in its field. In the year of publication of the work, 2020, it was in position 39/330, thus managing to position itself as a Q1 (Primer Cuartil), in the category Mathematics.

From a relative perspective, and based on the normalized impact indicator calculated from World Citations provided by WoS (ESI, Clarivate), it yields a value for the citation normalization relative to the expected citation rate of: 1.64. This indicates that, compared to works in the same discipline and in the same year of publication, it ranks as a work cited above average. (source consulted: ESI Nov 14, 2024)

This information is reinforced by other indicators of the same type, which, although dynamic over time and dependent on the set of average global citations at the time of their calculation, consistently position the work at some point among the top 50% most cited in its field:

  • Weighted Average of Normalized Impact by the Scopus agency: 1.31 (source consulted: FECYT Feb 2024)
  • Field Citation Ratio (FCR) from Dimensions: 4.14 (source consulted: Dimensions Jun 2025)

Specifically, and according to different indexing agencies, this work has accumulated citations as of 2025-06-27, the following number of citations:

  • WoS: 6
  • Scopus: 8

Impact and social visibility

From the perspective of influence or social adoption, and based on metrics associated with mentions and interactions provided by agencies specializing in calculating the so-called "Alternative or Social Metrics," we can highlight as of 2025-06-27:

  • The use of this contribution in bookmarks, code forks, additions to favorite lists for recurrent reading, as well as general views, indicates that someone is using the publication as a basis for their current work. This may be a notable indicator of future more formal and academic citations. This claim is supported by the result of the "Capture" indicator, which yields a total of: 5 (PlumX).

It is essential to present evidence supporting full alignment with institutional principles and guidelines on Open Science and the Conservation and Dissemination of Intellectual Heritage. A clear example of this is:

  • The work has been submitted to a journal whose editorial policy allows open Open Access publication.

Leadership analysis of institutional authors

This work has been carried out with international collaboration, specifically with researchers from: India; Italy.

the author responsible for correspondence tasks has been BONFORTE -, MATTEO.