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.
|ジャーナル||Discrete and Continuous Dynamical Systems- Series A|
|出版物ステータス||Published - 2019 5 1|
ASJC Scopus subject areas
- Discrete Mathematics and Combinatorics
- Applied Mathematics