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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.AP2024
Fabes-Stroock approach to higher integrability of Green's functions and ABP estimates with drift
Pilgyu Jung, Kwan Woo
We explore the higher integrability of Green's functions associated with the second-order elliptic equation in a bounded domain $Ω\subset \mathbb{R}^…