Zakharov system in two space dimensions

Tohru Ozawa*, Kenta Tomioka

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


We study the Cauchy problem for the Zakharov system in a two dimensional domain. Under natural assumptions on the data, we prove the existence and uniqueness of global solutions in H2⊕H1. The method of the construction of global solutions depends on the proof that solutions of some regularized system form a bounded sequence in H2⊕H1 and a Cauchy sequence in H1⊕L2. The method of proof is independent of the compactness argument and Brezis–Gallouet inequality.

Original languageEnglish
Article number112532
JournalNonlinear Analysis, Theory, Methods and Applications
Publication statusPublished - 2022 Jan


  • Global solutions
  • Zakharov system

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics


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