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math.AP2020★ 18 cited
Fokas method for linear boundary value problems involving mixed spatial derivatives
Ahmet Batal, Athanassios S. Fokas, Türker Özsarı
We obtain solution representation formulas for some linear initial boundary value problems posed on the half space that involve mixed spatial derivative terms via the unified trans…
math.AP2015★ 1 cited
Nonlinear Schrödinger equation on the half-line with nonlinear boundary condition
Ahmet Batal, Türker Özsarı
In this paper, we study the initial boundary value problem for nonlinear Schrödinger equations on the half-line with nonlinear boundary conditions of type $u_x(0,t)+λ|u(0,t)|^ru(0,…