论文标题
非局部全非核抛物线系统的准授权方法
Quasilinearization Methods for Nonlocal Fully-Nonlinear Parabolic Systems
论文作者
论文摘要
在本文中，我们提出了一种准线性化方法，这些方法将非局部全非核心抛物线系统转换为非局部准线性抛物线系统。非局部抛物线系统是为了为时间不一致的动态选择问题建模子游戏的完美平衡解决方案的重要数学工具，这些解决方案是由行为经济学的研究所激发的。研究了不同类型的非局部抛物线系统，但留下了完全非固定的案例及其之间的连接。本文显示了非局部全非线性与相关的准线性系统之间的溶解度的等效性，因为它们的溶液足够规律。此外，我们为非局部的准抛物线系统建立了良好的结果，因此对于非局部全额非线性抛物线系统的结果。从数学和建模的角度来看，单独的准线性案例本身就是有趣的。
In this paper, we propose quasilinearization methods that convert nonlocal fully-nonlinear parabolic systems into the nonlocal quasilinear parabolic systems. The nonlocal parabolic systems serve as important mathematical tools for modelling the subgame perfect equilibrium solutions to time-inconsistent dynamic choice problems, which are motivated by the study of behavioral economics. Different types of nonlocal parabolic systems were studied but left behind the fully-nonlinear case and the connections among them. This paper shows the equivalence in solvability between nonlocal fully-nonlinear and the associated quasilinear systems, given their solutions are regular enough. Moreover, we establish the well-posedness results for the nonlocal quasilinear parabolic systems, so do that for the nonlocal fully-nonlinear parabolic systems. The quasilinear case alone is interesting in its own right from mathematical and modelling perspectives.
