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Analysis of institutional authors

Zuazua EAuthor

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February 19, 2018
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Internal Controllability for Parabolic Systems Involving Analytic Non-local Terms

Publicated to: CHINESE ANNALS OF MATHEMATICS SERIES B. 39 (2): 281-296 - 2018-03-01 39(2), DOI: 10.1007/s11401-018-1064-6

Authors:

Lissy, P; Zuazua, E
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Affiliations

Centre de Recherche en Mathematiques de la Decision - Author
PSL, CNRS, UMR 7534 - Author
Universidad Autónoma de Madrid - Author
universidad de deusto - Author
Universite Pierre et Marie Curie - Author
UPMC Univ Paris 06, Sorbonne Univ, CNRS, Lab Jacques Louis Lions,UMR 7598 - Author
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Abstract

This paper deals with the problem of internal controllability of a system of heat equations posed on a bounded domain with Dirichlet boundary conditions and perturbed with analytic non-local coupling terms. Each component of the system may be controlled in a different subdomain. Assuming that the unperturbed system is controllable—a property that has been recently characterized in terms of a Kalman-like rank condition—the authors give a necessary and sufficient condition for the controllability of the coupled system under the form of a unique continuation property for the corresponding elliptic eigenvalue system. The proof relies on a compactness-uniqueness argument, which is quite unusual in the context of parabolic systems, previously developed for scalar parabolic equations. The general result is illustrated by two simple examples.
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Keywords

AnalyticityKalman rank conditionNon-local potentialsNull controllabilityParabolic systemsSpectral unique continuation

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal Chinese Annals of Mathematics, Series B, and although the journal is classified in the quartile Q4 (Agencia WoS (JCR)), its regional focus and specialization in Mathematics, give it significant recognition in a specific niche of scientific knowledge at an international level.

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: 3.27. 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 13, 2025)

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: 1.33 (source consulted: FECYT Mar 2025)

Specifically, and according to different indexing agencies, this work has accumulated citations as of 2026-04-05, the following number of citations:

  • WoS: 20
  • Scopus: 22
  • Google Scholar: 23
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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 2026-04-05:

  • 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: 3 (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.
  • Assignment of a Handle/URN as an identifier within the deposit in the Institutional Repository: https://repositorio.uam.es/handle/10486/684730
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Leadership analysis of institutional authors

This work has been carried out with international collaboration, specifically with researchers from: France.

There is a significant leadership presence as some of the institution’s authors appear as the first or last signer, detailed as follows: Last Author (ZUAZUA IRIONDO, ENRIQUE).

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