Uniqueness of solutions for zakharov systems

Nader Masmoudi, Kenji Nakanishi

Research output: Contribution to journalArticlepeer-review


We prove that the weak solution of the Cauchy problem for the Klein-Gordon-Zakharov system and for the Zakharov system is unique in the energy space for the former system, and in some larger space for the latter system, in dimensions three or lower. In the three dimensional case, these are the largest Sobolev spaces where the local wellposedness has been proven so far. Our proof uses infinite iteration, where the solution is fixed but the function spaces are converging to the desired ones in the limit.

Original languageEnglish (US)
Pages (from-to)233-253
Number of pages21
JournalFunkcialaj Ekvacioj
Issue number2
StatePublished - Aug 2009


  • Unconditional uniqueness
  • Zakharov system

ASJC Scopus subject areas

  • Analysis
  • Algebra and Number Theory
  • Geometry and Topology


Dive into the research topics of 'Uniqueness of solutions for zakharov systems'. Together they form a unique fingerprint.

Cite this