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arxiv: 1703.01487 · v1 · pith:6PYL2NV2new · submitted 2017-03-04 · 🧮 math.AP

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

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keywords blow-upequationfractionalginzburg-landauargumentcasecauchydata
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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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