Abstract elliptic and parabolic equat{\i}ons in Morrey spaces and applications
Analysis of PDEs
2019-10-22 v1 Functional Analysis
Abstract
We presents the study the separability properties for differential-operator equations in Morrey spaces. We prove that the corresponding differential operator is a generator of analytic semigroup in vector-valued Morrey spaces. Moreover, maximal regularity properties of corresponding parabolic equation {\i}s obtained. In applications, the maximal regularity properties of Wentzell-Robin type problem for elliptic equations and mixed value problem for degenerate parabolic equations in Morrey spaces are derived.
Keywords
Cite
@article{arxiv.1910.09371,
title = {Abstract elliptic and parabolic equat{\i}ons in Morrey spaces and applications},
author = {Alessandra Ragusa and Veli Shakhmurov},
journal= {arXiv preprint arXiv:1910.09371},
year = {2019}
}