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

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.

8 pages, no figures

References in corpus (2)

• Higher order fractional Leibniz rule
• On global well-posedness for nonlinear semirelativistic equations in some scaling subcritical and critical cases