N. Pattakos

activity

20132019

most citedMatrix weights, Littlewood Paley inequalities and the Riesz transforms

1 citations · 1 across the 2 of their papers we have counts for

collaborators

7 papers

math.AP2019

On the global well-posedness of the quadratic NLS on $L^{2} (R) + H^{1} (T)$

Leonid Chaichenets, Dirk Hundertmark, Peer Christian Kunstmann +1

We study the one dimensional nonlinear Schrödinger equation with power nonlinearity $∣ u ∣^{α - 1} u$ for $α \in [1, 5]$ and initial data $u_{0} \in L^{2} (R) + H^{1} (T)$ . We…

math.AP2019

The global Cauchy problem for the NLS with higher order anisotropic dispersion

Leonid Chaichenets, Nikolaos Pattakos

We use a method developed by Strauss to obtain global wellposedness results in the mild sense for the small data Cauchy problem in modulation spaces $M_{p, q}^{s} (R^{d})$ , wher…

math.AP2018

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

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

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 $M_{2, q}^{s} (R)$ , $…

math.CA2015

A dyadic analysis approach to the problem of continuity of weighted estimates with respect to the $A_{p}$ characteristic

Nikolaos Pattakos

This paper presents a new proof of the results regarding the continuity of weighted estimates with respect to the characteristic of the weight. Here we first prove the result in th…

On the global well-posedness of the quadratic NLS on L2(R)+H1(T)

The global Cauchy problem for the NLS with higher order anisotropic dispersion

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)

A dyadic analysis approach to the problem of continuity of weighted estimates with respect to the Ap​ characteristic

On the global well-posedness of the quadratic NLS on $L^{2} (R) + H^{1} (T)$

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

A dyadic analysis approach to the problem of continuity of weighted estimates with respect to the $A_{p}$ characteristic