4 papers
Pointwise Convergence of the Schrödinger Flow
E. Compaan, R. Lucà, G. Staffilani
In this paper we address the question of the pointwise almost everywhere limit of nonlinear Schrödinger flows to the initial data, in both the continuous and the periodic settings.…
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…
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…
Smoothing for the Zakharov & Klein-Gordon-Schrödinger Systems on Euclidean Spaces
E. Compaan
This paper studies the regularity of solutions to the Zakharov and Klein-Gordon-Schrödinger systems at low regularity levels. The main result is that the nonlinear part of the solu…