Boussaïd, Nabile; Cacciapuoti, Claudio; Carlone, Raffaele; Comech, Andrew; Noja, Diego; Posilicano, Andrea Spectral stability and instability of solitary waves of the Dirac equation with concentrated nonlinearity. (English) Zbl 1527.35043 Commun. Pure Appl. Anal. 22, No. 10, 3029-3067 (2023). MSC: 35B35 35C08 35P05 35Q41 PDFBibTeX XMLCite \textit{N. Boussaïd} et al., Commun. Pure Appl. Anal. 22, No. 10, 3029--3067 (2023; Zbl 1527.35043) Full Text: DOI arXiv
Cacciapuoti, Claudio; Finco, Domenico; Noja, Diego; Teta, Alessandro The point-like limit for a NLS equation with concentrated nonlinearity in dimension three. (English) Zbl 1378.35274 J. Funct. Anal. 273, No. 5, 1762-1809 (2017). Reviewer: Ivan Naumkin (Nice) MSC: 35Q55 81Q15 35B25 PDFBibTeX XMLCite \textit{C. Cacciapuoti} et al., J. Funct. Anal. 273, No. 5, 1762--1809 (2017; Zbl 1378.35274) Full Text: DOI arXiv
Cacciapuoti, Claudio; Carlone, Raffaele; Noja, Diego; Posilicano, Andrea The one-dimensional Dirac equation with concentrated nonlinearity. (English) Zbl 1371.35236 SIAM J. Math. Anal. 49, No. 3, 2246-2268 (2017). Reviewer: Thomas Ernst (Uppsala) MSC: 35Q41 35A01 35B25 PDFBibTeX XMLCite \textit{C. Cacciapuoti} et al., SIAM J. Math. Anal. 49, No. 3, 2246--2268 (2017; Zbl 1371.35236) Full Text: DOI arXiv
Cacciapuoti, Claudio; Finco, Domenico; Noja, Diego; Teta, Alessandro The NLS equation in dimension one with spatially concentrated nonlinearities: the pointlike limit. (English) Zbl 1303.81072 Lett. Math. Phys. 104, No. 12, 1557-1570 (2014). MSC: 81Q05 35B25 35B35 35Q55 PDFBibTeX XMLCite \textit{C. Cacciapuoti} et al., Lett. Math. Phys. 104, No. 12, 1557--1570 (2014; Zbl 1303.81072) Full Text: DOI arXiv