L. Chaichenets

activity

20122026

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 · 59 across the 11 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

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…

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 $L^{2} (R) + H^{1} (T)$