论文标题
投影Gevrey课程中的KDV型方程
KdV-type equations in projective Gevrey classes
论文作者
论文摘要
对于一类三阶的准演化方程式,我们证明了凯奇问题的适合性,在投射的gevrey空间中具有可变系数。所考虑的类与数学物理学中的多个方程相连,将其作为KDV和KDVB方程及其许多概括。
We prove well-posedness of the Cauchy problem for a class of third order quasilinear evolution equations with variable coefficients in projective Gevrey spaces. The class considered is connected with several equations in Mathematical Physics as the KdV and KdVB equation and some of their many generalizations.