3 citations · 3 across the 6 of their papers we have counts for
4 papers · 1 filter
Maximal estimates for orthonormal systems of wave equations with sharp regularity
Hyerim Ko, Sanghyuk Lee, Shobu Shiraki
We study maximal estimates for the wave equation with orthonormal initial data. In dimension , we establish optimal results with the sharp regularity exponent up to the endpoi…
Maximal estimates for orthonormal systems of wave equations
Shinya Kinoshita, Hyerim Ko, Shobu Shiraki
This paper investigates maximal estimates of the wave operators for orthonormal families of initial data. We extend the classical maximal estimates for the wave operator by making…
Pointwise convergence along a tangential curve for the fractional Schrödinger equation
Chu-hee Cho, Shobu Shiraki
In this paper we study the pointwise convergence problem along a tangential curve for the fractional Schrödinger equations in one spatial dimension and estimate the capacitary dime…
Pointwise convergence along restricted directions for the fractional Schrödinger equation
Shobu Shiraki
We consider the pointwise convergence problem for the solution of Schrödinger-type equations along directions determined by a given compact subset of the real line. This problem co…