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Generation results for vector-valued elliptic operators with unbounded coefficients in L^p spaces

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 نشر من قبل Luca Lorenzi
 تاريخ النشر 2021
  مجال البحث
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We consider a class of vector-valued elliptic operators with unbounded coefficients, coupled up to the first-order, in the Lebesgue space L^p(R^d;R^m) with p in (1,infty). Sufficient conditions to prove generation results of an analytic C_0-semigroup T(t), together with a characterization of the domain of its generator, are given. Some results related to the hypercontractivity and the ultraboundedness of the semigroup are also established.



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