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

Luigi Forcella, Kazumasa Fujiwara, Vladimir Georgiev, Tohru Ozawa

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3 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)2661-2678
Number of pages18
JournalDiscrete and Continuous Dynamical Systems- Series A
Volume39
DOIs
Publication statusPublished - 2019 May

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Keywords

  • Blow-up
  • Commutator estimate
  • Fractional Ginzburg-Landau equation

ASJC Scopus subject areas

  • Analysis
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

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