Local well-posedness and blow-up for the half ginzburg-landau-kuramoto equation with rough coefficients and potential

Luigi Forcella, Kazumasa Fujiwara, Vladimir Simeonov Gueorguiev, Tohru Ozawa

    研究成果: Article

    3 引用 (Scopus)

    抜粋

    We study the initial value problem for the half Ginzburg-Landau-Kuramoto (hGLK) equation with the second order elliptic operator having rough coefficients and potential type perturbation. The blow-up of solutions for hGLK equation with non-positive nonlinearity is shown by an ODE argument. The key tools in the proof are appropriate commutator estimates and the essential self-adjointness of the symmetric uniformly elliptic operator with rough metric and potential type perturbation.

    元の言語English
    ページ(範囲)2661-2678
    ページ数18
    ジャーナルDiscrete and Continuous Dynamical Systems- Series A
    39
    DOI
    出版物ステータスPublished - 2019 5 1

      フィンガープリント

    ASJC Scopus subject areas

    • Analysis
    • Discrete Mathematics and Combinatorics
    • Applied Mathematics

    これを引用