论文标题
有界延迟的抛物线微分方程
Parabolic Differential Equations with Bounded Delay
论文作者
论文摘要
我们显示了线性非自主二阶抛物线偏微分方程（PDE）的连续依赖性，并且对系数和延迟有界延迟。假设非常弱：仅需要延迟系数的弱*拓扑。结果在Lyapunov指数理论对PDE的研究中的应用中很重要。
We show the continuous dependence of solutions of linear nonautonomous second order parabolic partial differential equations (PDEs) with bounded delay on coefficients and delay. The assumptions are very weak: only convergence in the weak-* topology of delay coefficients is required. The results are important in the applications of the theory of Lyapunov exponents to the investigation of PDEs with delay.
