||Modified Strichartz estimates with an application to the critical nonlinear Schrodinger equation
Nakamura, MakotoWada, Takeshi
Nonlinear Analysis : Theory, Methods & Applications
156 , 2016-01 , Elsevier
The Cauchy problem for the critical nonlinear Schrodinger equation is considered in the Sobolev space of fractional order. Some modified Strichartz estimates are constructed and applied to the problem to obtain small global solutions with less regularity assumption for the nonlinear term.