Singular solutions of the subcritical nonlinear Schrodinger equation

Details Singular solutions of the subcritical nonlinear Schrodinger equation Singular solutions of the subcritical nonlinear Schrodinger equation

2010-04-11

arxiv.org/abs/1004.1827v2

Mathematics

Analysis of PDEs

Scientific paper

We show that the subcritical $d$-dimensional nonlinear Schr\"odinger equation $i \psi_t + \Delta \psi + |\psi|^{2 \sigma} \psi = 0$, where $1<\sigma d<2$, admits smooth solutions that become singular in~$L^p$ for $p^*

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