Journal of the Mathematical Society of Japan · 2003 · 12 citations · 1 references
Natural SciencesMathematicsDifferential EquationsBoundary ConditionsBoundary-value ProblemsInitial Value ProblemsPartial Differential EquationsSystems Of Differential EquationsElliptic Boundary-value ProblemsElliptic Partial Differential EquationsInitial-boundary Value ProblemsParabolic Partial Differential EquationsSingular Initial Value Problems
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,...}.
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