Refined energy inequality with application to well-posedness for the fourth order nonlinear Schrodinger type equation on torus release_d53se5tafrftrfwn2zwfne5gba

by Jun-ichi Segata

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(2012)

Abstract

We consider the time local and global well-posedness for the fourth order nonlinear Schrodinger type equation (4NLS) on the torus. The nonlinear term of (4NLS) contains the derivatives of unknown function and this prevents us to apply the classical energy method. To overcome this difficulty, we introduce the modified energy and derive an a priori estimate for the solution to (4NLS).
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Type  article
Stage   submitted
Date   2012-02-15
Version   v1
Language   en ?
arXiv  1202.3211v1
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