N. Pattakos

activity

20112025

most citedOn existence of global solutions of the one-dimensional cubic NLS for initial data in the modulation space

M_{p, q} (R)

25 citations · 82 across the 17 of their papers we have counts for

collaborators

Showing 2018Show all

3 papers · 1 filter

math.AP2018★ 4 cited

Knocking out teeth in one-dimensional periodic NLS

Leonid Chaichenets, Dirk Hundertmark, Peer Kunstmann +1

We show the existence of weak solutions in the extended sense of the Cauchy problem for the cubic nonlinear Schrödinger equation in one dimension with initial data $u_{0}$ in $H^{s…

math.AP2018★ 12 cited

Nonlinear Schrödinger equation, differentiation by parts and modulation spaces

Leonid Chaichenets, Dirk Hundertmark, Peer Kunstmann +1

We show the existence of weak solutions in the extended sense of the Cauchy problem for the cubic nonlinear Schrödinger equation in the modulation space $M_{p, q}^{s} (R)$ wh…

math.AP2018★ 8 cited

NLS in the modulation space $M_{2, q} (R)$

Nikolaos Pattakos

We show the existence of weak solutions in the extended sense of the Cauchy problem for the cubic nonlinear Schrödinger equation in the modulation space $M_{2, q}^{s} (R)$ , $…

Knocking out teeth in one-dimensional periodic NLS

Nonlinear Schrödinger equation, differentiation by parts and modulation spaces

NLS in the modulation space M2,q​(R)

NLS in the modulation space $M_{2, q} (R)$