Solvability of a system of totally characteristic equations related to Kahler metrics
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Date
2017-02-21
Authors
Lope, Jose Ernie
Ona, Mark Philip
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
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 K\"ahler 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.
Description
Keywords
Totally characteristic equation, Singular partial differential equation, Majorant function, Formal Gevrey class
Citation
Lope, J. E. C., & Ona, M. P. F. (2017). Solvability of a system of totally characteristic equations related to Kahler metrics. <i>Electronic Journal of Differential Equations, 2017</i>(51), pp. 1-15.
Rights
Attribution 4.0 International