The Cauchy problem for the Schrödinger equation in dimension three with concentrated nonlinearity
Annales de l'I.H.P. Analyse non linéaire, Tome 20 (2003) no. 3, pp. 477-500. 
@article{AIHPC_2003__20_3_477_0,
     author = {Adami, Riccardo and Dell'Antonio, Gianfausto and Figari, Rodolfo and Teta, Alessandro},
     title = {The {Cauchy} problem for the {Schr\"odinger} equation in dimension three with concentrated nonlinearity},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {477--500},
     publisher = {Elsevier},
     volume = {20},
     number = {3},
     year = {2003},
     doi = {10.1016/S0294-1449(02)00022-7},
     mrnumber = {1972871},
     zbl = {1028.35137},
     language = {en},
     url = {http://www.numdam.org/articles/10.1016/S0294-1449(02)00022-7/}
}
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Adami, Riccardo; Dell'Antonio, Gianfausto; Figari, Rodolfo; Teta, Alessandro. The Cauchy problem for the Schrödinger equation in dimension three with concentrated nonlinearity. Annales de l'I.H.P. Analyse non linéaire, Tome 20 (2003) no. 3, pp. 477-500. doi : 10.1016/S0294-1449(02)00022-7. http://www.numdam.org/articles/10.1016/S0294-1449(02)00022-7/

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