In this paper, the Cauchy problem for an integro-differential diffusion equation and a system with nonlocal nonlinear sources are considered. The results on the existence of local integral solutions and the nonexistence of global weak solutions to the nonlinear integro-differential diffusion equation and system are presented.
Local existence, blow-up, global weak solution, integro-differential diffusion system
"Globally unsolvability of integro-differential diffusion equation and system with exponential nonlinearities,"
Turkish Journal of Mathematics: Vol. 46:
7, Article 5.
Available at: https://journals.tubitak.gov.tr/math/vol46/iss7/5