Gagliardo-Nirenberg-Sobolev inequalities in domains

Abstract:  Our objective is to estimate constants for a type of Gagliardo-Nirenberg-Sobolev inequalities in domains in euclidean space. We obtain a rough bound valid for bounded convex domains in dimension 3 and higher. When the domain is a cube, we obtain an improved bound in any dimension. In one dimension, the sharp constant is simply related to the sharp constant of the inequality on the real line and I will comment on the open question whether this holds true in higher dimensions.

Date: Apr 16, 2018 at 16:10 h
Venue: Sala de Seminarios Felipe Álvarez Daziano, Depto. de Ingeniería Matemática, 5to piso, Torre Norte, Beauchef 851.
Speaker: Hanne Van Den Bosch
Affiliation: CMM U. de Chile
Coordinator: Prof. Fethi Mahmoudi
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Posted on May 17, 2018 in CAPDE, Seminars