超定非线性偏微分方程组的Cauchy-Kowalevsky定理及其几何应用
A Cauchy-Kowalevsky theorem for overdetermined systems of nonlinear partial differential equations and geometric applications
摘要：
考虑一类超定偏微分方程组的Cauchy问题，给出了该Cauchy问题对所有数据可解的充要条件。作为应用，我们找到了复空间中Levi数最大的实管超曲面。
英文摘要：
We consider a Cauchy problem for an overdetermined system of PDEs, and give necessary and sufficient conditions for solvability of this Cauchy problem for all data. As an application, we find all real tube hypersurfaces in complex space whose Levi number is maximal.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
