Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4669036 | Bulletin des Sciences Mathématiques | 2011 | 21 Pages |
Abstract
We consider the semilinear wave equation in the radial case with conformal subcritical power nonlinearity. If we consider a blow-up point different from the origin, then we exhibit a new Lyapunov functional which is a perturbation of the one-dimensional case and extend all our previous results known in the one-dimensional case. In particular, we show that the blow-up set near non-zero non-characteristic points is of class C1, and that the set of characteristic points is made of concentric spheres in finite number in for any R>1.
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