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Showing 2019 · math.APShow all
3 papers · 2 filters
math.AP2019★ 7 cited
Fisher-KPP dynamics in diffusive Rosenzweig-MacArthur and Holling-Tanner models
Hong Cai, Anna Ghazaryan, Vahagn Manukian
We prove the existence of traveling fronts in diffusive Rosenzweig-MacArthur and Holling-Tanner population models and investigate their relation with fronts in a scalar Fisher-KPP…
math.AP2019
Scattering for the supercritical point NLS
Riccardo Adami, Reika Fukuizumi, Justin Holmer
We consider the 1D nonlinear Schrödinger equation with focusing point nonlinearity. "Point" means that the pure-power nonlinearity has an inhomogeneous potential and the potential…
math.AP2019★ 5 cited
Optimal regularity for a Dirichlet-conormal problem in Reifenberg flat domain
Jongkeun Choi, Hongjie Dong, Zongyuan Li
We study the divergence form second-order elliptic equations with mixed Dirichlet-conormal boundary conditions. The unique solvability is obtained with being in the o…