论文标题
关于准线性哈密顿kDV型方程的凯奇问题
On the Cauchy problem for quasi-linear Hamiltonian KdV-type equations
论文作者
论文摘要
我们证明了一类具有周期性边界条件的准汉密尔顿KDV型方程的时间良好，更严格地显示了解决方案图的存在，唯一性和连续性。我们在\ cite {mietka}中改善了先前的结果，从而概括了考虑的方程式，并改善了初始数据的规则性假设。
We prove local in time well-posedness for a class of quasilinear Hamiltonian KdV-type equations with periodic boundary conditions, more precisely we show existence, uniqueness and continuity of the solution map. We improve the previous result in \cite{Mietka}, generalising the considered class of equations and improving the regularity assumption on the initial data.
