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Communications in Applied and Industrial Mathematics
Volume 14 (2023): Issue 1 (January 2023)
Open Access
A general review on the NLS equation with point-concentrated nonlinearity
Lorenzo Tentarelli
Lorenzo Tentarelli
| Oct 13, 2023
Communications in Applied and Industrial Mathematics
Volume 14 (2023): Issue 1 (January 2023)
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Published Online:
Oct 13, 2023
Page range:
62 - 84
Received:
Apr 18, 2023
Accepted:
Jul 28, 2023
DOI:
https://doi.org/10.2478/caim-2023-0004
Keywords
NLS equation
,
concentrated nonlinearity
,
delta potentials
,
well-posedness
,
standing waves
,
stability
,
blow-up
,
point-like limit
© 2023 Lorenzo Tentarelli, published by Sciendo
This work is licensed under the Creative Commons Attribution 4.0 International License.
Lorenzo Tentarelli
Politecnico di Torino, Dipartimento di Scienze Matematiche “G.L. Lagrange”, Corso Duca degli Abruzzi 24
Torino, Italy