2 papers
math.AP2024
Emergence of peaked singularities in the Euler-Poisson system
Junsik Bae, Sang-Hyuck Moon, Kwan Woo
We consider the one-dimensional Euler-Poisson system equipped with the Boltzmann relation and provide the exact asymptotic behavior of the peaked solitary wave solutions near the p…
math.AP2021
Trace theorem and non-zero boundary value problem for parabolic equations in weighted Sobolev spaces
Doyoon Kim, Kyeong-Hun Kim, Kwan Woo
We present weighted Sobolev spaces and prove a trace theorem for the spaces. As an application, we discuss non-zero boundary value problems for parabolic equations. The weighted pa…