3 research outputs found
An introduction to the two-dimensional Schrödinger equation with nonlinear point interactions
We present an introduction to the nonlinear Schroedinger equation (NLSE) with concentrated nonlinearities in R2. Precisely, taking a cue from the linear problem, we sketch the main challenges and the typical difficulties that arise in the twodimensional
case, and mention some recent results obtained by the authors on local and global wellposedness