We present the global existence theorem for semilinear Schrödinger equations satisfying gauge invariance. Combining the local existence results and a priori estimates, we construct global solutions with small initial data.
Cite this article
Hiroyuki Chihara, Global Existence of Small Solutions to Semilinear Schrödinger Equations with Gauge Invariance. Publ. Res. Inst. Math. Sci. 31 (1995), no. 5, pp. 731–753DOI 10.2977/PRIMS/1195163717