Regularity results for elliptic and parabolic systems of partial differential equations
Analysis of PDEs
2024-12-31 v1
Abstract
We study Cauchy problems associated to elliptic operators acting on vector-valued functions and coupled up to the first-order. We prove pointwise estimates for the spatial derivatives of the semigroup associated to these problems in the space of bounded and continuous functions over . Consequently, we deduce relevant regularity results both in H\"older and Zygmund spaces and in Sobolev and Besov spaces.
Cite
@article{arxiv.2412.21014,
title = {Regularity results for elliptic and parabolic systems of partial differential equations},
author = {Luciana Angluli and Simone Ferrari and Luca Lorenzi},
journal= {arXiv preprint arXiv:2412.21014},
year = {2024}
}