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arXiv · 2101.01738

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

L. Angiuli·L. Lorenzi·E. M. Mangino·A. Rhandi
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Abstract

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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L. Angiuli, L. Lorenzi, E. M. Mangino, A. Rhandi. 2021-01-05. Generation results for vector-valued elliptic operators with unbounded coefficients in L^p spaces. https://arxiv.org/abs/2101.01738

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