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

Kazumasa Fujiwara; Tohru Ozawa

doi:10.3934/eect.2018013

Article Contents

2018, Volume 7, Issue 2: 275-280. Doi: 10.3934/eect.2018013

This issue Previous Article Robust Stackelberg controllability for linear and semilinear heat equations Next Article On the viscoelastic equation with Balakrishnan-Taylor damping and acoustic boundary conditions

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

Kazumasa Fujiwara^1, , and
Tohru Ozawa^2,

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
* Corresponding author: Kazumasa Fujiwara

Received: April 30, 2017

Revised: December 31, 2017

Published: April 2018

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Abstract

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

Keywords:

Periodic DNLS,
power type nonlinearity without gauge invariance,
lifespan estimate,
finite time blowup,
ODE approach.

Mathematics Subject Classification: Primary: 35Q55; Secondary: 35B10.

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References

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