25 citations · 34 across the 11 of their papers we have counts for
3 papers · 1 filter
Pointwise convergence for the elastic wave equation
Chu-Hee Cho, Seongyeon Kim, Yehyun Kwon +1
We study pointwise convergence of the solution to the elastic wave equation to the initial data which lies in the Sobolev spaces. We prove that the solution converges along every l…
Quantum revivals and fractality for the Schrödinger equation
Gunwoo Cho, Jimyeong Kim, Seongyeon Kim +2
We investigate the behavior of the Schrödinger equation under the influence of potentials, focusing on its relationship to quantum revivals and fractality. Our findings reveal that…
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.…