Year: 2020
Author: Abdelatif Kainane Mezadek
Journal of Partial Differential Equations, Vol. 33 (2020), Iss. 4 : pp. 291–312
Abstract
In this paper we study the local or global (in time) existence of small data solutions to semi-linear fractional $σ$−evolution equations with nonlinear memory. Our main goal is to explain on the one hand the influence of the memory term and on the other hand the influence of higher regularity of the data on qualitative properties of solutions.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v33.n4.1
Journal of Partial Differential Equations, Vol. 33 (2020), Iss. 4 : pp. 291–312
Published online: 2020-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 22
Keywords: Fractional equations $σ$-evolution equations global in time existence small data solutions nonlinear memory.