Almost sure well-posedness for the periodic 3D quintic nonlinear Schr\"odinger equation below the energy space

Andrea Nahmod; Gigliola Staffilani

arxiv: 1308.1169 · v1 · pith:LRD7V4OHnew · submitted 2013-08-06 · 🧮 math.AP

Almost sure well-posedness for the periodic 3D quintic nonlinear Schr\"odinger equation below the energy space

Andrea Nahmod , Gigliola Staffilani This is my paper

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keywords almostbelowequationnonlinearodingerperiodicquinticschr

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In this paper we prove an almost sure local well-posedness result for the periodic 3D quintic nonlinear Schr\"odinger 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 Schr\"odinger equation below the energy space

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