Remark on well-posedness for the fourth order nonlinear Schrödinger type equation

Segata, Jun-ichi

doi:10.1090/S0002-9939-04-07620-8

Remark on well-posedness for the fourth order nonlinear Schrödinger type equation
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Proc. Amer. Math. Soc. 132 (2004), 3559-3568 Request permission

Abstract:

We consider the initial value problem for the fourth order nonlinear Schrödinger type equation (4NLS) related to the theory of vortex filament. In this paper we prove the time local well-posedness for (4NLS) in the Sobolev space, which is an improvement of our previous paper.

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