National Institute for Mathematical Sciences

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20062026

most citedObservation of Gravitational Waves from a Binary Black Hole Merger

14.2k citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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Showing 2021 · math.APShow all

6 papers · 2 filters

math.AP2021★ 1 cited

Uniform Integrability in Periodic Homogenization of Fully Nonlinear Equations

Sunghan Kim

This paper is devoted to the study of uniform $W^{1, \frac{n p}{n - p}}$ - and $W^{2, p}$ -estimates for viscosity solutions to fully nonlinear, uniformly elliptic, periodic homogenizatio…

math.AP2021★ 4 cited

Existence and regularity for prescribed Lorentzian mean curvature hypersurfaces, and the Born-Infeld model

Jaeyoung Byeon, Norihisa Ikoma, Andrea Malchiodi +1

Given a measure $ρ$ on a domain $Ω \subset R^{m}$ , we study spacelike graphs over $Ω$ in Minkowski space with Lorentzian mean curvature $ρ$ and Dirichlet boundary condition o…

math.AP2021★ 3 cited

Robust near-diagonal Green function estimates

Moritz Kassmann, Minhyun Kim, Ki-Ahm Lee

We prove sharp near-diagonal pointwise bounds for the Green function $G_{Ω} (x, y)$ for nonlocal operators of fractional order $α \in (0, 2)$ . The novelty of our results is two-fold: the…

math.AP2021★ 16 cited

Strong illposedness for SQG in critical Sobolev spaces

In-Jee Jeong, Junha Kim

We prove that the inviscid surface quasi-geostrophic (SQG) equations are strongly ill-posed in critical Sobolev spaces: there exists an initial data $H^{2}(\bbT^2)$ without any sol…

math.AP2021★ 17 cited

Well-posedness and singularity formation for inviscid Keller-Segel-fluid system of consumption type

In-Jee Jeong, Kyungkeun Kang

We consider the Keller-Segel system of consumption type coupled with an incompressible fluid equation. The system describes the dynamics of oxygen and bacteria densities evolving w…

math.AP2021★ 1 cited

Harnack inequality for Nonlocal operators on Manifolds with nonnegative curvature

Jongmyeong Kim, Minhyun Kim, Ki-Ahm Lee

We establish the Krylov Safonov Harnack inequalities and Holder estimates for fully nonlinear nonlocal operators of non-divergence form on Riemannian manifolds with nonnegative sec…