@article{c4cc0ea81bd6407da3748f3cff722638,
title = "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.",
keywords = "Blow-up, Fractional Ginzburg-landau equation",
author = "Kazumasa Fujiwara and Vladimir Georgiev and Tohru Ozawa",
note = "Funding Information: 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{\textquoteright}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. Funding Information: The second author was supported in part by INDAM, GNAMPA - Gruppo Nazionale per l{\textquoteright}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. Funding Information: 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. Funding Information: The third author was supported by Grant-in-Aid for Scientific Research (A) Number 26247014.",
year = "2018",
doi = "10.4310/DPDE.2018.v15.n3.a1",
language = "English",
volume = "15",
pages = "175--182",
journal = "Dynamics of Partial Differential Equations",
issn = "1548-159X",
publisher = "International Press of Boston, Inc.",
number = "3",
}