Generation results for vector-valued elliptic operators with unbounded coefficients in L^p spaces
Analysis of PDEs
2021-01-07 v1
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.
Keywords
Cite
@article{arxiv.2101.01738,
title = {Generation results for vector-valued elliptic operators with unbounded coefficients in L^p spaces},
author = {L. Angiuli and L. Lorenzi and E. M. Mangino and A. Rhandi},
journal= {arXiv preprint arXiv:2101.01738},
year = {2021}
}