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Asymptotic profiles for inhomogeneous heat equations with memory

Publicated to:MATHEMATISCHE ANNALEN. 389 (4): 3705-3746 - 2024-01-01 389(4), DOI: 10.1007/s00208-023-02707-6

Authors: Cortazar, Carmen; Quiros, Fernando; Wolanski, Noemi

Affiliations

CSIC-UAM-UC3M-UCM - Instituto de Ciencias Matematicas (ICMAT) , Universidad Autónoma de Madrid - Author
Pontificia Univ Catolica Chile, Dept Matemat, Santiago, Chile - Author
Pontificia Universidad Católica de Chile - Author
UBA, CONICET, IMAS, Ciudad Univ,Pab 1, RA-1428 Buenos Aires, Argentina - Author
UC3M, Inst Ciencias Matemat ICMAT, CSIC, UCM,UAM, Madrid 28049, Spain - Author
Univ Autonoma Madrid, Dept Matemat, Madrid 28049, Spain - Author
Universidad de Buenos Aires - Author
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Abstract

We study the large-time behavior in all Lp norms of solutions to an inhomogeneous nonlocal heat equation in RN involving a Caputo α -time derivative and a power β of the Laplacian when the dimension is large, N> 4 β . The asymptotic profiles depend strongly on the space-time scale and on the time behavior of the spatial L1 norm of the forcing term.

Keywords

35r1145k05dynamics35b40Fractional diffusion

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal MATHEMATISCHE ANNALEN 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, 2024 there are still no calculated indicators, but in 2023, it was in position 67/490, 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 the Field Citation Ratio (FCR) of the Dimensions source, it yields a value of: 1.02, which 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: 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: 1
  • Scopus: 1

Impact and social visibility

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:

Leadership analysis of institutional authors

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