Local and blowing-up solutions for an integro-differential diffusion equation and system
Analysis of PDEs
2021-10-05 v1
Abstract
In the present paper initial problems for the semilinear integro-differential diffusion equation and system are considered. The analogue of Duhamel principle for the linear integro-differential diffusion equation is proved. The results on existence of local mild solutions and Fujita-type critical exponents to the semilinear integro-differential diffusion equation and system are presented.
Cite
@article{arxiv.1910.06989,
title = {Local and blowing-up solutions for an integro-differential diffusion equation and system},
author = {Meiirkhan Borikhanov and Berikbol T. Torebek},
journal= {arXiv preprint arXiv:1910.06989},
year = {2021}
}
Comments
27 pages