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arXiv · 1804.02524

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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Abstract

We study the Cauchy 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.

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Luigi Forcella, Kazumasa Fujiwara, Vladimir Georgiev, Tohru Ozawa. 2018-04-07. Local Well-posedness and Blow-up for the Half Ginzburg-Landau-Kuramoto equation with rough coefficients and potential. https://arxiv.org/abs/1804.02524

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