4 papers
math.AP2022
Maximal domains of solutions for analytic quasilinear differential equations of first order
Chong-Kyu Han, Taejung Kim
We study the real-analytic continuation of local real-analytic solutions to the Cauchy problems of quasi-linear partial differential equations of first order for a scalar function.…
math.OC2022
The collision avoidance and the controllability for bodies in dimension one
Chong-Kyu Han, Donghoon Park
We present a method of design of control systems for bodies in the real line and on the unit circle , to be collision-free and controllable. The problem reduce…
math.DG2018
Nullity of the Levi-form and the associated subvarieties for pseudo-convex CR structures of hypersurface type
Kuerak Chung, Chong-Kyu Han
Let , , be a smooth manifold with a pseudo-convex integrable CR structure of hypersurface type. We consider a sequence of CR invariant subsets $ M=\mathcal S_0 \s…
math.DS2018
Invariant submanifolds for affine control systems
Chong-Kyu Han, Hyeseon Kim
Given an affine control system we present an algorithmic process of construction of submanifolds that are inv…