论文标题
在真实轴上具有二次非线性的高阶非线性schrödinger方程
The higher order nonlinear Schrödinger equation with quadratic nonlinearity on the real axis
论文作者
论文摘要
对于具有二次非线性的高阶非线性schrödinger方程，考虑了初始值问题。获得了弱解决方案的存在和独特性的结果。在有效的无限范围内，还建立了没有任何较小假设的大型溶液衰减。该研究的主要困难是非线性的非平滑特征。
The initial value problem is considered for a higher order nonlinear Schrödinger equation with quadratic nonlinearity. Results on existence and uniqueness of weak solutions are obtained. In the case of an effective at infinity additional damping large-time decay of solutions without any smallness assumptions is also established. The main difficulty of the study is the non-smooth character of the nonlinearity.
