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 Failure of scattering for the NLSE with a point interaction in dimension two and three. (English) Zbl 1522.35172 Nonlinearity 36, No. 10, 5298-5310 (2023). MSC: 35J10 35Q55 35A21 PDFBibTeX XMLCite \textit{C. Cacciapuoti} et al., Nonlinearity 36, No. 10, 5298--5310 (2023; Zbl 1522.35172) Full Text: DOI arXiv OA License
Cacciapuoti, Claudio; Finco, Domenico; Noja, Diego Well posedness of the nonlinear Schrödinger equation with isolated singularities. (English) Zbl 1479.35263 J. Differ. Equations 305, 288-318 (2021). MSC: 35J10 35Q55 35A21 PDFBibTeX XMLCite \textit{C. Cacciapuoti} et al., J. Differ. Equations 305, 288--318 (2021; Zbl 1479.35263) 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
Ortoleva, Cecilia; Noja, Diego; Adami, Riccardo Asymptotic stability for standing waves of a NLS equation with subcritical concentrated nonlinearity in dimension three: neutral modes. (English) Zbl 1351.35187 Discrete Contin. Dyn. Syst. 36, No. 11, 5837-5879 (2016). MSC: 35Q55 35Q51 37K40 35B40 35B35 PDFBibTeX XMLCite \textit{C. Ortoleva} et al., Discrete Contin. Dyn. Syst. 36, No. 11, 5837--5879 (2016; Zbl 1351.35187) Full Text: DOI
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
Adami, Riccardo; Noja, Diego; Ortoleva, Cecilia Orbital and asymptotic stability for standing waves of a nonlinear Schrödinger equation with concentrated nonlinearity in dimension three. (English) Zbl 1322.35122 J. Math. Phys. 54, No. 1, 013501, 33 p. (2013). Reviewer: M. Plum (Karlsruhe) MSC: 35Q55 35J10 35B35 PDFBibTeX XMLCite \textit{R. Adami} et al., J. Math. Phys. 54, No. 1, 013501, 33 p. (2013; Zbl 1322.35122) Full Text: DOI arXiv
Noja, Diego; Posilicano, Andrea The wave equation with one point interaction and the (linearized) classical electrodynamics of a point particle. (English) Zbl 0923.35172 Ann. Inst. Henri Poincaré, Phys. Théor. 68, No. 3, 351-377 (1998). Reviewer: Valentina Golubeva (Moskva) MSC: 35Q60 81V10 78A35 PDFBibTeX XMLCite \textit{D. Noja} and \textit{A. Posilicano}, Ann. Inst. Henri Poincaré, Phys. Théor. 68, No. 3, 351--377 (1998; Zbl 0923.35172) Full Text: Numdam EuDML