Formal solutions of first order totally characteristic type PDE with irregular singularity. II. (Chinese. English summary) Zbl 1199.35001
Summary: The solutions of first order PDE of totally characteristic type with irregular singularity are not holomorphic, but there is a unique formal solution belonging to the Gevrey class. We discuss the formal solutions of two different first order PDEs of totally characteristic type with irregular singularity, and prove that these solutions belong to the Gevrey class.
For Part I, see J. Math., Wuhan Univ. 28, No. 1, 109–112 (2008; Zbl 1164.35306).
For Part I, see J. Math., Wuhan Univ. 28, No. 1, 109–112 (2008; Zbl 1164.35306).
MSC:
| 35A20 | Analyticity in context of PDEs |
| 35F20 | Nonlinear first-order PDEs |
| 35C10 | Series solutions to PDEs |
