Dynamics of Partial Differential Equations
Volume 15 (2018)
Blow-up for self-interacting fractional Ginzburg–Landau equation
Pages: 175 – 182
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.
fractional Ginzburg–Landau equation, blow-up
2010 Mathematics Subject Classification
Primary 35Q40. Secondary 35Q55.
The first author was partly supported by the Japan Society for the Promotion of Science, Grant-in-Aid for JSPS Fellows no 16J30008 and Top Global University Project of Waseda University.
The second author was supported in part by INDAM, GNAMPA - Gruppo Nazionale per l’Analisi Matematica, la Probabilita e le loro Applicazioni, by Institute of Mathematics and Informatics, Bulgarian Academy of Sciences and Top Global University Project, Waseda University.
The third author was supported by Grant-in-Aid for Scientific Research (A) Number 26247014.
Received 2 October 2017
Published 29 May 2018