论文标题
部分可观测时空混沌系统的无模型预测
On Beltrami equations with the inverse conditions and hydrodynamic normalization
论文作者
论文摘要
我们考虑有关Beltrami方程解决方案的存在及其在整个复杂平面中的收敛性的问题。当这些解决方案满足无穷大街区所谓的流体动力归一化条件时，我们主要对这种情况感兴趣。在与反映射扩张有关的条件下，我们在连续的Sobolev映射类别中确定了这种溶液的存在。我们还获得了此类溶液序列的局部均匀极限的结果。
We consider problems concerning the existence of solutions of the Beltrami equations and their convergence in the entire complex plane. We are mainly interested in the case when these solutions satisfy the so-called hydrodynamic normalization condition in the neighborhood of infinity. Under conditions related to dilations of inverse mappings, we have established the existence of such solutions in the class of continuous Sobolev mappings. We have also obtained results on the locally uniform limit of a sequence of such solutions.
