281 citations
- Sapienza University of RomeIT10 papers
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- Istituto Nazionale di Fisica Nucleare, Sezione di NapoliIT9 papers
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- University of Milano-BicoccaIT8 papers
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Showing 2022 · math.APShow all
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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.AP2022★ 14 cited
Blow-up and instability of standing waves for the NLS with a point interaction in dimension two
D. Finco, D. Noja
In the present note we study the NLS equation in dimension two with a point interaction and in the supercritical regime, showing two results. After obtaining the (nonstandard) viri…