학술
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Well-Posedness of the Schr\"odinger -- Intermediate Long Wave system
arXiv Math
CC BY
이 매체는 공공·자유 라이선스로 본문을 직접 표시합니다.Abstract
The system coupled by the Schrödinger equation and the Intermediate Long Wave (ILW) equation is a particular model describing the interaction of long and short waves.
We prove local and global well-posedness of the initial value problem associated with this system in Sobolev spaces of low regularity.
Our approach relies on the use of energy estimates, Bourgain spaces, and Tao's gauge transformation.
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