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arXiv · 1212.6719

Non-dispersive vanishing and blow up at infinity for the energy critical nonlinear Schrödinger equation in R^3

Cecilia Ortoleva·Galina Perelman
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Abstract

We consider the energy critical focusing NLS in R^3 and prove, for any $ν$ sufficiently small, the existence of radial finite energy solutions that as $t\to\infty$ behave as a sum of a dynamically rescaled ground state plus a radiation, the scaling law being of the form $t^ν$.

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Cecilia Ortoleva, Galina Perelman. 2012-12-30. Non-dispersive vanishing and blow up at infinity for the energy critical nonlinear Schrödinger equation in R^3. https://arxiv.org/abs/1212.6719

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