no. 4
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, Tome 30 (2013) no. 4, pp. 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<s<1. In this paper, we prove a lower bound on the blow-up rate for these regularities.

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     author = {Godet, Nicolas},
     title = {A lower bound on the blow-up rate for the {Davey{\textendash}Stewartson} system on the torus},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {691--703},
     publisher = {Elsevier},
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     year = {2013},
     doi = {10.1016/j.anihpc.2012.12.001},
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     zbl = {1288.35113},
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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, Tome 30 (2013) no. 4, pp. 691-703. doi : 10.1016/j.anihpc.2012.12.001. http://archive.numdam.org/articles/10.1016/j.anihpc.2012.12.001/

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