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math.AP2018
A note on global existence for the Zakharov system on
E. Compaan
We show that the one-dimensional periodic Zakharov system is globally well-posed in a class of low-regularity Fourier-Lebesgue spaces. The result is obtained by combining the I-met…
math.AP2018
Low-regularity global well-posedness for the Klein-Gordon-Schrödinger system on
E. Compaan, N. Tzirakis
In this paper we establish an almost optimal well-posedness and regularity theory for the Klein-Gordon-Schrödinger system on the half line. In particular we prove local-in-time wel…