Abstract
In 1990, Gérard-Tahara [2] introduced the Briot-Bouquet type partial differential equation t∂tu = F(t, x, u, ∂ xu), and they determined the structure of singular solutions provided that the characteristic exponent ρ(x) satisfies ρ(0) ∉ {1, 2,...}. In this paper the author determines the structure of singular solutions in the case ρ(0) ∈ {1, 2,...}.
| Original language | English |
|---|---|
| Pages (from-to) | 617-632 |
| Number of pages | 16 |
| Journal | Journal of the Mathematical Society of Japan |
| Volume | 55 |
| Issue number | 3 |
| Publication status | Published - 2003 Jul |
| Externally published | Yes |
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Keywords
- Characteristic exponent
- Singular solution
- The Briot-Bouquet type partial differential equations
ASJC Scopus subject areas
- Mathematics(all)