A stochastic partial differential equation with values in a manifold

Tadahisa Funaki*

*この研究の対応する著者

研究成果: Article査読

25 被引用数 (Scopus)

抄録

We investigate a certain stochastic partial differential equation which is defined on the unit interval with periodic boundary condition and takes values in a manifold. Such equation has particularly two different applications. Namely, it determines the evolution law of an interacting constrained system of continuum distributed over the unit circle, while it defines a diffusive motion of loops on a manifold. We establish the existence and uniqueness results and then show the smoothness property of the solutions. Some examples are given in the final section.

本文言語English
ページ(範囲)257-288
ページ数32
ジャーナルJournal of Functional Analysis
109
2
DOI
出版ステータスPublished - 1992 11 1
外部発表はい

ASJC Scopus subject areas

  • 分析

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