4 citations · 7 across the 7 of their papers we have counts for
8 papers · 1 filter
Well-posedness for the Schrodinger-KdV system on the half-line
Erin Compaan, Wangseok Shin, Nikolaos Tzirakis
In this paper we obtain improved local well-posedness results for the Schrödinger-KdV system on the half-line. We employ the Laplace-Fourier method in conjunction with the restrict…
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.…
Sharp well--posedness for the generalized KdV of order three on the half line
Erin Leigh Compaan, Nikolaos Tzirakis
In this paper we study the generalized Korteweg de Vries (KdV) equation with the nonlinear term of order three: . We prove sharp local well--posedness for the initial…
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…
Well-posedness and nonlinear smoothing for the "good" Boussinesq equation on the half-line
Erin Compaan, Nikolaos Tzirakis
In this paper we study the regularity properties of the "good" Boussinesq equation on the half line. We obtain local existence, uniqueness and continuous dependence on initial data…
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…
Smoothing and Global Attractors for the Majda-Biello System on the Torus
Erin Compaan
In this paper, we consider the Majda-Biello system, a coupled KdV-type system, on the torus. In the first part of the paper, it is shown that, given initial data in a Sobolev space…