Global well-posedness on the derivative nonlinear Schrödinger equation

By Yifei Wu. 2014

117 citations recorded by the source corpus.

As a continuation of our previous work, we consider the global well-posedness for the derivative nonlinear Schrodinger equation. We prove that it is globally well posed in the energy space, provided that the initial data u02 H 1 .R/ withku0kL2 < 2 p .

Subfields: Applied Mathematics, Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/57ae7cb3bff4f39f2ec059a97c082a345e42fbc0

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In Applied Mathematics

1. Dmitry E. Pelinovsky
2. Yusuke Shimabukuro

In Mathematical Physics

1. Dmitry E. Pelinovsky
2. Yusuke Shimabukuro

In Statistical and Nonlinear Physics

1. Dmitry E. Pelinovsky
2. Yusuke Shimabukuro

Citations in the corpus

• Existence of global solutions to the derivative NLS equation with the inverse scattering transform method (2016, background): “Proceeding further with sharper Gagliardo–Nirenbergtype inequalities, Wu [37] proved very recently that the global solutions to the DNLS equation exists in H1(R) if the initial data u0 ∈ H1(R) satisfy the inequality (1.”