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arXiv · 1703.01487

Blow-up for self-interacting fractional Ginzburg-Landau equation

Kazumasa Fujiwara·Vladimir Georgiev·Tohru Ozawa
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Abstract

The blow-up of solutions for the Cauchy problem of fractional Ginzburg-Landau equation with non-positive nonlinearity is shown by an ODE argument. Moreover, in one dimensional case, the optimal lifespan estimate for size of initial data is obtained.

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Kazumasa Fujiwara, Vladimir Georgiev, Tohru Ozawa. 2017-03-04. Blow-up for self-interacting fractional Ginzburg-Landau equation. https://doi.org/10.4310/dpde.2018.v15.n3.a1

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