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 2019Show all

4 papers · 1 filter

math.AP2019★ 1 cited

Unconditional uniqueness of higher order nonlinear Schrödinger equations

Friedrich Klaus, Peer Kunstmann, Nikolaos Pattakos

We show the existence of weak solutions in the extended sense of the Cauchy problem for the cubic fourth order nonlinear Schrödinger equation with initial data $u_{0} \in X$ , where…

math.AP2019★ 2 cited

On the global wellposedness of the Klein-Gordon equation for initial data in modulation spaces

Leonid Chaichenets, Nikolaos Pattakos

We prove global wellposedness of the Klein-Gordon equation with power nonlinearity $∣ u ∣^{α - 1} u$ , where $α \in [1, \frac{d}{d - 2}]$ , in dimension $d \geq 3$ with initial data i…

math.AP2019★ 2 cited

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★ 2 cited

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…

Unconditional uniqueness of higher order nonlinear Schrödinger equations

On the global wellposedness of the Klein-Gordon equation for initial data in modulation spaces

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

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