Blow-up behavior outside the origin for a semilinear wave equation in the radial case |
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Authors: | Frank Merle Hatem Zaag |
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Institution: | aUniversité de Cergy Pontoise and IHES, France;bCNRS UMR 7539, LAGA, Université Paris 13, France |
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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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Keywords: | MSC: 35L05 35L71 35L67 35B44 35B40 |
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