16 citations · 16 across the 3 of their papers we have counts for
3 papers
math.AP2025
The Zakharov System on the Upper Half-Plane
M. B. Erdoğan, N. Tzirakis
In this paper we study the Zakharov system on the upper half--plane with non-homogenous boundary conditions. In particular we obtain low regularity loca…
math.AP2017
The derivative nonlinear Schrödinger equation on the half line
M. B. Erdoğan, T. B. Gŭrel, N. Tzirakis
We study the initial-boundary value problem for the derivative nonlinear Schrödinger (DNLS) equation. More precisely we study the wellposedness theory and the regularity properties…
math.AP2013★ 16 cited
Existence and Uniqueness theory for the fractional Schrödinger equation on the torus
S. Demirbas, M. B. Erdoğan, N. Tzirakis
We study the Cauchy problem for the -d periodic fractional Schrödinger equation with cubic nonlinearity. In particular we prove local well-posedness in Sobolev spaces, for solut…