26 citations · 274 across the 59 of their papers we have counts for
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Carleman inequalities and unique continuation for the polyharmonic operators
Eunhee Jeong, Yehyun Kwon, Sanghyuk Lee
We obtain a complete characterization of Carleman estimates with weight for the polyharmonic operators. Our result extends the Carleman inequalities for th…
Unique continuation for the heat operator with potentials in weak spaces
Eunhee Jeong, Sanghyuk Lee, Jaehyeon Ryu
We prove strong unique continuation property for the differential inequality with contained in weak spaces. In particular, we establ…
Dimension of divergence set of the wave equation
Seheon Ham, Hyerim Ko, Sanghyuk Lee
We consider the Hausdorff dimension of the divergence set on which the pointwise convergence fails when …
Strichartz and uniform Sobolev inequalities for the elastic wave equation
Seongyeon Kim, Yehyun Kwon, Sanghyuk Lee +1
We prove dispersive estimate for the elastic wave equation by which we extend the known Strichartz estimates for the classical wave equation to those for the elastic wave equation.…
A sharp regularity estimate for the Schrödinger propagator on the sphere
Xianghong Chen, Xuan Thinh Duong, Sanghyuk Lee +1
Let denote the Laplace-Beltrami operator on the -dimensional unit sphere . In this paper we show that $$ \| e^{it Δ_{\mathbb S^n}}f \|_{L^4([0, 2π…
Strichartz estimates for orthonormal families of initial data and weighted oscillatory integral estimates
Neal Bez, Sanghyuk Lee, Shohei Nakamura
We establish new Strichartz estimates for orthonormal families of initial data in the case of the wave, Klein-Gordon and fractional Schrödinger equations. Our estimates extend thos…