Properties of Positive Solution for Nonlocal Reaction-Diffusion Equation with Nonlocal Boundary

Yulan Wang, Chunlai Mu, Zhaoyin Xiang
2007 Boundary Value Problems  
This paper considers the properties of positive solutions for a nonlocal equation with nonlocal boundary condition u(x,t) = Ω f (x, y)u(y,t)dy on ∂Ω × (0,T). The conditions on the existence and nonexistence of global positive solutions are given. Moreover, we establish the uniform blow-up estimates for the blow-up solution.
doi:10.1155/2007/64579 fatcat:c4kqkxqn7rhbxinykorhs6o4me