论文标题
从动态的角度来看，Carathéodory抛物线PDE的连续性拓扑
Topologies of continuity for Carathéodory parabolic PDEs from a dynamical perspective
论文作者
论文摘要
考虑到具有carathéodory类型的非线性项的有限域上的非自主抛物线偏微分方程的系统。在非线性项和初始条件的变化方面，在不同的假设下，对非线性项和初始条件的变化，定义了一组Lipschitzcarathéodory图集的适当拓扑。
Systems of non-autonomous parabolic partial differential equations over a bounded domain with nonlinear term of Carathéodory type are considered. Appropriate topologies on sets of Lipschitz Carathéodory maps are defined in order to have a continuous dependence of the mild solutions with respect to the variation of both the nonlinear term and the initial conditions, under different assumptions on the bound-maps of the nonlinearities.
