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22 papers · 1 filter
Self-similar solutions, regularity and time asymptotics for a nonlinear diffusion equation arising in game theory
Marco Antonio Fontelos, Francesco Salvarani, Nastassia Pouradier Duteil
In this article, we study the long-time asymptotic properties of a non-linear and non-local equation of diffusive type which describes the rock-paper-scissors game in an interconne…
A Fischer type decomposition theorem from the apolar inner product
J. M. Aldaz, H. Render
We continue the study initiated by H. S. Shapiro on Fischer decompositions of entire functions, showing that such decomposition exist in a weak sense (we do not prove uniqueness) u…
Asymptotic stability of the spectrum of a parametric family of homogenization problems associated with a perforated waveguide
Delfina Gómez, Sergei A. Nazarov, Rafael Orive-Illera +1
In this paper, we provide uniform bounds for convergence rates of the low frequencies of a parametric family of problems for the Laplace operator posed on a rectangular perforated…
On weighted logarithmic-Sobolev & logarithmic-Hardy inequalities
Ujjal Das
For and , we look for that satisfies the following weighted logarithmic Sobolev inequality: \begin{equation*} \int_{\mathbb{…
Uniform rectifiability and elliptic operators satisfying a Carleson measure condition
Steve Hofmann, José María Martell, Svitlana Mayboroda +2
The present paper establishes the correspondence between the properties of the solutions of a class of PDEs and the geometry of sets in Euclidean space. We settle the question of w…
Non-existence of axisymmetric optimal domains with smooth boundary for the first curl eigenvalue
Alberto Enciso, Daniel Peralta-Salas
We say that a bounded domain is optimal for the first positive curl eigenvalue if for any domain with the same volume. In spite of the fact t…