C. Kenig

activity

20002026

most citedGlobal well-posedness, scattering and blow-up for the energy-critical, focusing, non-linear Schrodinger equation in the radial case

596 citations · 842 across the 39 of their papers we have counts for

collaborators

Showing 2021Show all

4 papers · 1 filter

math.AP2021

Expansion of harmonic functions near the boundary of Dini domains

Carlos Kenig, Zihui Zhao

Let $u$ be a harmonic function in a $C^{1}$ -Dini domain, such that $u$ vanishes on an open set of the boundary. We show that near every point in the open set, $u$ can be written uniq…

math.AP2021

Soliton resolution for critical co-rotational wave maps and radial cubic wave equation

Thomas Duyckaerts, Carlos Kenig, Yvan Martel +1

In this paper we prove the soliton resolution conjecture for all times, for all solutions in the energy space, of the co-rotational wave map equation. To our knowledge this is the…

math.AP2021

Boundary unique continuation on $C^{1}$ -Dini domains and the size of the singular set

Carlos Kenig, Zihui Zhao

Let $u$ be a harmonic function in a $C^{1}$ -Dini domain $D$ such that $u$ vanishes on a boundary surface ball $\partial D \cap B_{5 R} (0)$ . We consider an effective version of its sin…

math.AP2021

Doubling inequalities and nodal sets in periodic elliptic homogenization

Carlos E. Kenig, Jiuyi Zhu, Jinping Zhuge

We prove explicit doubling inequalities and obtain uniform upper bounds (under $(d - 1)$ -dimensional Hausdorff measure) of nodal sets of weak solutions for a family of linear ellipti…

Expansion of harmonic functions near the boundary of Dini domains

Soliton resolution for critical co-rotational wave maps and radial cubic wave equation

Boundary unique continuation on C1-Dini domains and the size of the singular set

Doubling inequalities and nodal sets in periodic elliptic homogenization

Boundary unique continuation on $C^{1}$ -Dini domains and the size of the singular set