P. Kunstmann

activity

20112021

most cited

L^{p}

-spectral multipliers for some elliptic systems

6 citations · 6 across the 4 of their papers we have counts for

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4 papers · 1 filter

math.AP2021

Global wellposedness of NLS in $H^{1} (R) + H^{s} (T)$

Friedrich Klaus, Peer Kunstmann

We show global wellposedness for the defocusing cubic nonlinear Schrödinger equation (NLS) in $H^{1} (R) + H^{3/2 +} (T)$ , and for the defocusing NLS with polynomial n…

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.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…

Global wellposedness of NLS in H1(R)+Hs(T)

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

Knocking out teeth in one-dimensional periodic NLS

Nonlinear Schrödinger equation, differentiation by parts and modulation spaces

Global wellposedness of NLS in $H^{1} (R) + H^{s} (T)$

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