16 citations · 16 across the 2 of their papers we have counts for
3 papers
math-ph2014
Almost Sure Global Well-posedness for Fractional Cubic Schrödinger equation on torus
Seckin Demirbas
In [12], we proved that -d periodic fractional Schrödinger equation with cubic nonlinearity is locally well-posed in for and globally well-posed for $s>\…
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…
math.AP2013
Local Well-posedness for 2-D Schrodinger Equation on Irrational Tori and Bounds on Sobolev Norms
Seckin Demirbas
In this paper we consider the cubic Schrodinger equation in two space dimensions on irrational tori. Our main result is an improvement of the Strichartz estimates on irrational tor…