Semigroups and linear partial differential equations with delay

[摘要] We prove the equivalence of the well-posedness of a partial differential equation with delay and an associated abstract Cauchy problem. This is used to derive sufficient conditions for well-posedness, exponential stability and norm continuity of the solutions. Applications to a reaction-diffusion equation with delay arc given. (C) 2001 Elsevier Science.

[发布日期] 2001-12-01

[关键词] C-0-semigroups;delay equations;exponential stability