Asymptotic solutions of viscous hamilton- jacobi equations with ornstein-uhlenbeck operator

Yasuhiro Fujita, Hitoshi Ishii, Paola Loreti

    研究成果: Article査読

    18 被引用数 (Scopus)

    抄録

    We study the long time behavior of solutions of the Cauchy problem for semilinear parabolic equations with the Ornstein-Uhlenbeck operator in ℝN. The long time behavior in the main results is stated with help of the corresponding to ergodic problem, which complements, in the case of unbounded domains, the recent developments on long time behaviors of solutions of (viscous) Hamilton-Jacobi equations due to Namah (1996), Namah and Roquejoffre (1999), Roquejoffre (1998), Fathi (1998), Barles and Souganidis (2000, 2001). We also establish existence and uniqueness results for solutions of the Cauchy problem and ergodic problem for semilinear parabolic equations with the Ornstein-Uhlenbeck operator.

    本文言語English
    ページ(範囲)827-848
    ページ数22
    ジャーナルCommunications in Partial Differential Equations
    31
    6
    DOI
    出版ステータスPublished - 2006 6

    ASJC Scopus subject areas

    • Mathematics(all)
    • Analysis
    • Applied Mathematics

    フィンガープリント 「Asymptotic solutions of viscous hamilton- jacobi equations with ornstein-uhlenbeck operator」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