Uniqueness of Solutions for Zakharov Systems

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概要

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• 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.

• 日本数学会函数方程式論分科会の論文

日本数学会函数方程式論分科会 | 論文

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