Low regularity global well-posedness for the quantum Zakharov system in 1D

Tsai Jung Chen, Yung Fu Fang, Kuan Hsiang Wang

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Abstract

In this paper, we consider the quantum Zakharov system in one spatial dimension. We prove the global well-posedness of the system with L2-Schrödinger data and some wave data. The regularity of the wave data is in the largest set. We give counterexamples for the boundary of the set. As the quantum parameter tends to zero, we formally recover the result of Colliander-Holmer-Tzirakis for the classical Zakharov system.

Original languageEnglish
Pages (from-to)341-361
Number of pages21
JournalTaiwanese Journal of Mathematics
Volume21
Issue number2
DOIs
Publication statusPublished - 2017 Jan 1

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All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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