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• W2023174000 startingPage "1177" @default.
• W2023174000 abstract "Let $$iu_{t} = -Delta u-|u|^{frac{4}{N}}u$$ be the L 2-critical nonlinear Schrödinger equation, in a domain $$Omega subset mathbb{R}^{N}$$ with initial data in $$H^{1}_{0}(Omega)$$ (Dirichlet boundary condition) and $$N leq 4$$ . We prove existence and stability of finite time blow-up dynamics with the log-log blow-up speed $${|Delta u(t)|_{{L}^{2}}}simsqrt{frac{rm{log|log}({it T-t})|}{T-t}}.$$ Moreover, for a suitable class of finite time blow-up solutions, we derive global rigidity properties which turn out to be modeled after the $$mathbb{R}^{N}$$ ones." @default.
• W2023174000 created "2016-06-24" @default.
• W2023174000 creator A5004082358 @default.
• W2023174000 creator A5077889771 @default.
• W2023174000 date "2007-09-01" @default.
• W2023174000 modified "2023-10-15" @default.
• W2023174000 title "Existence and Stability of the log–log Blow-up Dynamics for the L 2-Critical Nonlinear Schrödinger Equation in a Domain" @default.
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• W2023174000 doi "https://doi.org/10.1007/s00023-007-0332-x" @default.
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