×

Local existence and global nonexistence results for an integro-differential diffusion system with nonlocal nonlinearities. (English) Zbl 1470.35072

Summary: In the present paper, initial problem for the integro-differential diffusion system with nonlocal nonlinear sources is considered. The results on existence of local mild solutions and nonexistence of global weak solution to the nonlinear integro-differential diffusion system are presented.

MSC:

35B44 Blow-up in context of PDEs
35B33 Critical exponents in context of PDEs
35R09 Integro-partial differential equations
35R11 Fractional partial differential equations
PDFBibTeX XMLCite
Full Text: DOI