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Nonlinear Schrödinger blowup analysis

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For the focusing power equation $iu_t+\Delta u+|u|^{p-1}u=0$, the conserved energy is
$$
E(u)=\frac12\int|\nabla u|^2-
\frac1{p+1}\int|u|^{p+1}.
$$


Energy conservation for the nonlinear Schrödinger equation

Past exam of the mathematics course of the University of Cambridge / 2026 / iii / Paper 154 / 2 / 2 / Solution

Energy conservation for the nonlinear Schrödinger equation

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Energy conservation for the nonlinear Schrödinger equation

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