We consider the Cauchy problem for the fourth-order nonlinear Schrödinger equation [Equation not available: see fulltext.]where n= 1 , 2. We prove global existence of small solutions under the growth condition of f(u) satisfying |∂ujf(u)|≤C|u|p-j, where p>1+4n,0≤j≤3.
- Fourth-order nonlinear Schrödinger equation
- Global existence
- Non gauge invariant
ASJC Scopus subject areas
- Applied Mathematics