On the solvability of a system involving a singular equation of Gerard-Tahara type of partial differential equation
This paper investigates the existence and uniqueness of holomorphic solutions of par- tial differential equations of Gerard-Tahara type. Such equations are PDE generalizations of the Briot-Bouquet type ordinary differential equation studied by Briot and Bouquet in the late 1800s. More particularly,...
Saved in:
| 主要作者: | |
|---|---|
| 格式: | text |
| 出版: |
Animo Repository
2015
|
| 主題: | |
| 在線閱讀: | https://animorepository.dlsu.edu.ph/faculty_research/11308 |
| 標簽: |
添加標簽
沒有標簽, 成為第一個標記此記錄!
|
| 機構: | De La Salle University |
| 總結: | This paper investigates the existence and uniqueness of holomorphic solutions of par- tial differential equations of Gerard-Tahara type. Such equations are PDE generalizations of the Briot-Bouquet type ordinary differential equation studied by Briot and Bouquet in the late 1800s. More particularly, this paper presents the higher order extensions of the Gerard-Tahara type PDE and of a system of PDEs studied by Bielawki. The proofs make use of a fundamental lemma attributed to Nagumo in estimating spatial derivatives and of the Implicit Function Theorem in proving the existence of a function that majorizes the unique formal solution. |
|---|