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arxiv: 1003.0625 · v5 · pith:ESWEZWOUnew · submitted 2010-03-02 · 🧮 math.AP

Universality of the blow-up profile for small type II blow-up solutions of energy-critical wave equation: the non-radial case

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keywords blow-upequationsolutiontypecaseenergy-criticalradialsolutions
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Following our previous paper in the radial case, we consider blow-up type II solutions to the energy-critical focusing wave equation. Let W be the unique radial positive stationary solution of the equation. Up to the symmetries of the equation, under an appropriate smallness assumption, any type II blow-up solution is asymptotically a regular solution plus a rescaled Lorentz transform of W concentrating at the origin.

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