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

Hidetoshi Tahara, Hiroshi Yamazawa

研究成果: Article査読

7 被引用数 (Scopus)

抄録

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.

本文言語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
2
DOI
出版ステータスPublished - 2005 7
外部発表はい

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。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル