Structure of solutions of nonlinear partial differential equations of Gérard-Tahara type

Hidetoshi Tahara, Hiroshi Yamazawa

研究成果: Article

7 引用 (Scopus)

抜粋

Let us consider the following nonlinear singular partial differential equation (t∂/∂t)m u = F(t, x, {(t∂/∂t) j (∂/∂x)α u} j+|α|≤m,j<m) in the complex domain. When the equation is of Fuchsian type with respect to t, holomorphic and singular solutions were investigated quite well by Gérard-Tahara under some assumptions on characteristic exponents. In this paper, the same type of equations is solved in the general case without any assumption on characteristic exponents.

元の言語English
ページ(範囲)339-373
ページ数35
ジャーナルPublications of the Research Institute for Mathematical Sciences
41
発行部数2
DOI
出版物ステータスPublished - 2005 7

ASJC Scopus subject areas

  • Mathematics(all)

フィンガープリント Structure of solutions of nonlinear partial differential equations of Gérard-Tahara type' の研究トピックを掘り下げます。これらはともに一意のフィンガープリントを構成します。

  • これを引用