论文标题
恢复非线性schrödinger方程的立方非线性
Recovery of a cubic nonlinearity for the nonlinear Schrödinger equation
论文作者
论文摘要
我们考虑在二维和三个方程中恢复非线性schrödinger方程中空间定位的立方非线性的问题。我们证明，使用小振幅波数据包给出的数据的解决方案产生的非线性相决定了非线性系数的X射线变换。
We consider the problem of recovering a spatially-localized cubic nonlinearity in a nonlinear Schrödinger equation in dimensions two and three. We prove that solutions with data given by small-amplitude wave packets accrue a nonlinear phase that determines the X-ray transform of the nonlinear coefficient.
