Local and blowing-up solutions for an integro-differential diffusion equation and system
arXiv:1910.06989 · doi:10.1016/j.chaos.2021.111041
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.
27 pages