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Weighted mixed norm estimates for fractional wave equations with VMO coefficients

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 نشر من قبل Yanze Liu
 تاريخ النشر 2021
  مجال البحث
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This paper is a comprehensive study of $L_p$ estimates for time fractional wave equations of order $alpha in (1,2)$ in the whole space, a half space, or a cylindrical domain. We obtain weighted mixed-norm estimates and solvability of the equations in both non-divergence form and divergence form when the leading coefficients have small mean oscillation in small cylinders.



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