Nonexistence of global solutions in time for reaction-diffusion systems with inhomogeneous terms in cones (Q1032696)

The paper is devoted to initial-boundary value problems for the reaction-diffusion systems with inhomogeneous terms in cones. The initial data are nonnegative, bounded and continuous. First, the authors outline a history of the study on global nonexistence of solutions to the systems of such type. Then they proof the two theorems: Theorem 1, where sufficient conditions of existence of non-negative solutions are produced, and Theorem 2, where sufficient conditions of nonexistence of nontrivial nonnegative global solutions are given.