The solution of anisotropic sixth-order Schrodinger equation

摘要

This paper studies the local existence of solutions in Sobolev space for anisotropic sixth-order Schrodinger-type equation iut+Delta u+ n-ary sumation i=1d(a partial differential xi4u+b partial differential xi6u)+c|u|alpha u=0,x is an element of Rn,t is an element of R,1 <= d s1,rho Hz -> s2,r.