The Cauchy problem for nonlinear Schrödinger-type equations
Abstract
The Cauchy problem for the equation $$ \frac{\partial u(t,x)}{\partial t}=-i\Delta u+f(u),\qquad f(u)=\sum_{k=2}^\infty f_ku^k, $$is investigated. The solution is sought in the class of functions$u(t,x)$which belong to a space$V_K'$at each$t\in\mathbf R^1$. It is proved that the solution constructed is periodic in$t$.Bibliography: 2 titles.
Submission history
[v1] 1975