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math.AP2016★ 1 cited
Nonhomogeneous Boundary Value Problems of Nonlinear Schrödinger Equations in a Half Plane
Yu Ran, Shu-Ming Sun, Bing-Yu Zhang
This paper discusses the initial-boundary-value problems (IBVP) of nonlinear Schrödinger equations posed in a half plane with nonhomogeneous Dirich…
math.AP2016★ 25 cited
A nonhomogeneous boundary value problem for the Kuramoto-Sivashinsky equation in a quarter plane
Jing Li, Bing-Yu Zhang, Zhixiong Zhang
We study the initial boundary value problem for one-dimensional Kuramoto-Sivashinsky equation with nonhomogeneous boundary conditions. Through the analysis of the boundary integral…