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Global existence of radial solutions for general semilinear hyperbolic systems in 3D

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 نشر من قبل Silu Yin
 تاريخ النشر 2015
  مجال البحث
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We study the well-posedness of radial solutions for general nonlinear hyperbolic systems in three dimensions. We give a proof of the global existence of radial solutions for general semilinear hyperbolic systems in 3D under null condition, with small scaling invariant $dot{W}^{2,1}(mathbb{R}^3)$ data. We obtain a bilinear estimate that is effective to the hyperbolic systems which do not have any time decay. It allows us to achieve the boundedness of the weighted BV norm of the radial solution.



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