# American Institute of Mathematical Sciences

June  2018, 7(2): 275-280. doi: 10.3934/eect.2018013

## On the lifespan of strong solutions to the periodic derivative nonlinear Schrödinger equation

 1 Centro di Ricerca Matematica Ennio De Giorgi, Scuola Normale Superiore, Piazza dei Cavalieri, 3, 56126 Pisa, Italy 2 Department of Applied Physics, Waseda University, 3-4-1, Okubo, Shinjuku-ku, Tokyo 169-8555, Japan

* Corresponding author: Kazumasa Fujiwara

The first author was partly supported by Grant-in-Aid for JSPS Fellows no 16J30008.

Received  May 2017 Revised  January 2018 Published  May 2018

An explicit lifespan estimate is presented for the derivative Schrödinger equations with periodic boundary condition.

Citation: Kazumasa Fujiwara, Tohru Ozawa. On the lifespan of strong solutions to the periodic derivative nonlinear Schrödinger equation. Evolution Equations & Control Theory, 2018, 7 (2) : 275-280. doi: 10.3934/eect.2018013
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