A. Mas

activity

20182022

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Showing 2018Show all

3 papers · 1 filter

math.AP2018

The MIT Bag Model as an infinite mass limit

Naiara Arrizabalaga, Loïc Le Treust, Albert Mas +1

The Dirac operator, acting in three dimensions, is considered. Assuming that a large mass $m > 0$ lies outside a smooth and bounded open set $Ω \subset R^{3}$ , it is proved that its spe…

math.CA2018

Pointwise monotonicity of heat kernels

Diego Alonso-Orán, Fernando Chamizo, Ángel D. Martínez +1

In this paper the authors present a proof of a pointwise radial monotonicity property of heat kernels that is shared by the euclidean spaces, spheres and hyperbolic spaces. The mai…

math.AP2018

Characterization of balls as minimizers of an endpoint Gagliardo seminorm on the boundary

Albert Mas

Given a bounded $C^{2}$ domain $Ω \subset R^{d}$ with $d \geq 3$ , we prove a sharp inequality which relates the perimeter of $\partial Ω$ to the endpoint Gagliardo seminorm in $…