Abstract. In this paper, we study the properties of positive solutions for the reaction-diffusion equationdy on ∂Ω×(0, T ) and nonnegative initial data u 0 (x), where p, q, k, l > 0. Some conditions for the existence and nonexistence of global positive solutions are given.
We investigate the blowup properties of the positive solutions for a semilinear reaction-diffusion system with nonlinear nonlocal boundary condition. We obtain some sufficient conditions for global existence and blowup by utilizing the method of subsolution and supersolution.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.