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math.AP2022★ 3 cited
Well-posedness of the three-dimensional NLS equation with sphere-concentrated nonlinearity
Domenico Finco, Lorenzo Tentarelli, Alessandro Teta
We discuss strong local and global well-posedness for the three-dimensional NLS equation with nonlinearity concentrated on . Precisely, local well-posedness is proved…
math.AP2005★ 26 cited
Dispersive estimate for the Schroedinger equation with point interactions
Piero D'Ancona, Vittoria Pierfelice, Alessandro Teta
We consider the Schroedinger operator in R^3 with N point interactions placed at Y=(y_1, ... ,y_N), y_j in R^3, of strength a=(a_1, ... ,a_N). Exploiting the spectral theorem and t…