# Conserved energies for the cubic NLS in 1-d

23 May 2018 Koch Herbert Tataru Daniel

We consider the cubic Nonlinear Schr\"odinger Equation (NLS) as well as the modified Korteweg-de Vries (mKdV) equation in one space dimension. We prove that for each $s>-\frac12$ there exists a conserved energy which is equivalent to the $H^s$ norm of the solution... (read more)

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