Almost sure well-posedness for the periodic 3D quintic nonlinear Schrödinger equation below the energy space

preprint2013arXivOpen access

In this paper we prove an almost sure local well-posedness result for the periodic 3D quintic nonlinear Schrödinger equation in the supercritical regime, that is below the critical space $H^1(\mathbb T^3)$ .

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Almost sure well-posedness for the periodic 3D quintic nonlinear Schrödinger equation below the energy space

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