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 |
Keywords
- Characteristic exponent
- Singular solution
- The Briot-Bouquet type partial differential equations
ASJC Scopus subject areas
- Mathematics(all)
Cite this
Singular solutions of the Briot-Bouquet type partial differential equations. / Yamazawa, Hiroshi.
In: Journal of the Mathematical Society of Japan, Vol. 55, No. 3, 07.2003, p. 617-632.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Singular solutions of the Briot-Bouquet type partial differential equations
AU - Yamazawa, Hiroshi
PY - 2003/7
Y1 - 2003/7
N2 - 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,...}.
AB - 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,...}.
KW - Characteristic exponent
KW - Singular solution
KW - The Briot-Bouquet type partial differential equations
UR - http://www.scopus.com/inward/record.url?scp=0142086974&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0142086974&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:0142086974
VL - 55
SP - 617
EP - 632
JO - Journal of the Mathematical Society of Japan
JF - Journal of the Mathematical Society of Japan
SN - 0025-5645
IS - 3
ER -