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Analysis of institutional authors

Vazquez JAuthorEsteban JAuthor

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The maximal solution of the logarithmic fast diffusion equation in two space dimensions

Publicated to:Advances In Differential Equations. 2 (6): 867-894 - 1997-12-01 2(6), DOI:

Authors: Rodriguez A; Vazquez J; Esteban J

Affiliations

Universidad Autónoma de Madrid - Author
Universidad Politécnica de Madrid - Author

Abstract

We consider the problem, with nonnegative and integrable data u0(x), which appears in Riemannian geometry. We construct a class of maximal solutions of this problem and prove that they generate a semigroup of contractions in L1(ℝ2), characterized by the property of area loss, which holds until u(x, t) vanishes identically at the time T = ∫ u0(x) dx/(4π). Several constructions of the maximal solutions are proposed and alternative characterizations proved. Sharp uniqueness criteria are obtained.

Keywords

AnalysisApplied mathematicsAstronomia / físicaCiências ambientaisGeociênciasInterdisciplinarLetras / linguísticaMatemática / probabilidade e estatísticaMathematicsMathematics, applied

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

Independientemente del impacto esperado determinado por el canal de difusión, es importante destacar el impacto real observado de la propia aportación.

Según las diferentes agencias de indexación, el número de citas acumuladas por esta publicación hasta la fecha 2025-06-24:

  • Google Scholar: 64

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:

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

Leadership analysis of institutional authors

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 (ESTEBAN CASADO, JUAN RAMON).