A lower bound on the blow-up rate for the Davey–Stewartson system on the torus
Annales de l'I.H.P. Analyse non linéaire, Volume 30 (2013) no. 4, p. 691-703

We consider the hyperbolic–elliptic version of the Davey–Stewartson system with cubic nonlinearity posed on the two-dimensional torus. A natural setting for studying blow-up solutions for this equation takes place in ${H}^{s}$, $1/2. In this paper, we prove a lower bound on the blow-up rate for these regularities.

@article{AIHPC_2013__30_4_691_0,
author = {Godet, Nicolas},
title = {A lower bound on the blow-up rate for the Davey--Stewartson system on the torus},
journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
publisher = {Elsevier},
volume = {30},
number = {4},
year = {2013},
pages = {691-703},
doi = {10.1016/j.anihpc.2012.12.001},
zbl = {1288.35113},
mrnumber = {3082480},
language = {en},
url = {http://www.numdam.org/item/AIHPC_2013__30_4_691_0}
}

Godet, Nicolas. A lower bound on the blow-up rate for the Davey–Stewartson system on the torus. Annales de l'I.H.P. Analyse non linéaire, Volume 30 (2013) no. 4, pp. 691-703. doi : 10.1016/j.anihpc.2012.12.001. http://www.numdam.org/item/AIHPC_2013__30_4_691_0/

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