A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2018; you can also visit the original URL.
The file type is
NONLOCAL DEGENERATE REACTION-DIFFUSION EQUATIONS WITH GENERAL NONLINEAR DIFFUSION TERM
Electronic Journal of Differential Equations
We study a class of second-order nonlocal degenerate semilinear reaction-diffusion equations with general nonlinear diffusion term. Under a set of conditions on the general nonlinear diffusivity and nonlinear nonlocal source term, we prove global existence and uniqueness results in a subset of a Sobolev space. Furthermore, we prove nonexistence of smooth solution or blow-up of solution under some other set of conditions. Lastly, we give illustrative examples for which our results apply. 2000fatcat:kd4g4tbrkngc7jqtk43ibbb6gq