On Schrr Odinger Equations with Concentrated Nonlinearities

  title={On Schrr Odinger Equations with Concentrated Nonlinearities},
  author={Giovanni Jona-Lasinio and Carlo Presilla and Johannes Sjj},
Schrr odinger equations with nonlinearities concentrated in some regions of space are good models of various physical situations and have interesting mathematical properties. We show that in the semiclassical limit it is possible to separate the relevant degrees of freedom by noticing that in the regions where the nonlinearities are eeective all states are suppressed but the metastable ones (resonances). In this way the description of the nonlinear regions is reduced to ordinary diierential… CONTINUE READING