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• W3206662922 abstract "We consider a general class of focusing $L^2$-critical nonlinear Schrodinger equations with lower order perturbations, for which the pseudo-conformal symmetry and the conservation law of energy are absent. In dimensions one and two, we construct Bourgain-Wang type solutions concentrating at $K$ distinct singularities, $1leq K<infty$, and prove that they are unique if the asymptotic behavior is within the order $(T-t)^{4+}$, for $t$ close to the blow-up time $T$. These results apply to the canonical nonlinear Schrodinger equations and, through the pseudo-conformal transform, in particular yield the existence and conditional uniqueness of non-pure multi-solitons. Furthermore, through a Doss-Sussman type transform, these results also apply to stochastic nonlinear Schrodinger equations, where the driving noise is taken in the sense of controlled rough path." @default.
• W3206662922 created "2021-10-25" @default.
• W3206662922 creator A5008807000 @default.
• W3206662922 creator A5010020158 @default.
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• W3206662922 date "2021-10-08" @default.
• W3206662922 modified "2023-09-26" @default.
• W3206662922 title "Multi-bubble Bourgain-Wang solutions to nonlinear Schrodinger equation" @default.
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• W3206662922 hasPublicationYear "2021" @default.
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