3 papers
math.AG2021
Sums of squares, Hankel index, and almost real rank
Grigoriy Blekherman, Justin Chen, Jaewoo Jung
The Hankel index of a real variety is an invariant that quantifies the difference between nonnegative quadrics and sums of squares on . In [5], the authors proved an intrigu…
math.AC2019
Bounds on Regularity of Quadratic Monomial Ideals
Grigoriy Blekherman, Jaewoo Jung
Castelnuovo-Mumford regularity is a measure of algebraic complexity of an ideal. Regularity of monomial ideals can be investigated combinatorially. We use a simple graph decomposit…
math.AP2011
On Global Existence of Classical Solutions for the Vlasov-Poisson System in Convex Bounded Domains
Hyung Ju Hwang, Jaewoo Jung, Juan J. L. Velazquez
We prove global existence of strong solutions for the Vlasov-Poisson system in a convex bounded domain in the plasma physics case assuming homogeneous Dirichlet boundary conditions…