Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4610775 | Journal of Differential Equations | 2013 | 46 Pages |
Abstract
The paper considers the Cauchy problem for linear partial differential equations of non-Kowalevskian type in the complex domain. It is shown that if the Cauchy data are entire functions of a suitable order, the problem has a formal solution which is multisummable. The precise bound of the admissible order of entire functions is described in terms of the Newton polygon of the equation.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Hidetoshi Tahara, Hiroshi Yamazawa,