Stability criteria for dissipative semi-linear distributed parameter systems with application

The concept of asymptotic stability is studied for a class of dissipative semi-linear infinite-dimensional Banach state space systems with nonlinearity defined on a convex subset of the state space. Stability criteria are established, which are based on a weaker technical condition of the m-dissipativity. These theoretical results are applied to a class of transport-reaction processes. Different types of nonlinearity are studied by adapting the criteria given in the early portions of the paper.