SOLVABILITY OF A SYSTEM OF TOTALLY CHARACTERISTIC EQUATIONS RELATED TO KAHLER METRICS

作者：Lope Jose Ernie C^*; Ona Mark Philip F

来源：Electronic Journal of Differential Equations, 2017, 51.

We consider a system of equations composed of a higher order singular partial differential equation of totally characteristic type and several higher order non-Kowalevskian linear equations. This system is a higher order version of a system that arose in Bielawski's investigations on Kahler metrics. We first prove that this system has a unique holomorphic solution. We then show that if the coefficients of the system are in some formal Gevrey class, then the unique solution is also in the same formal Gevrey class.

• 出版日期2017-2-21