Well-posedeness for the non-isotropic Schrödinger equations on cylinders and periodic domains

Adán J. Corcho. Marcelo Nogueira, Mahendra Panthee

The initial value problem (IVP) for the non-isotropic Schrödinger equation posed on the two-dimensional cylinders and ${\mathbb{T}}^2$ is considered. The IVP is shown to be locally w…