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.
An introduction to the two-dimensional Schrödinger equation with nonlinear point interactions
Correggi, M.;
2018
Abstract
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.File in questo prodotto:
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Carlone_Introduction-to-the-twodimensional_2018.pdf
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