P. Kunstmann

activity

20102021

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 · 70 across the 13 of their papers we have counts for

collaborators

Showing 2016Show all

3 papers · 1 filter

math.AP2016★ 3 cited

Local well-posedness for the nonlinear Schrödinger equation in the intersection of modulation spaces $M_{p, q}^{s} (R^{d}) \cap M_{\infty, 1} (R^{d})$

Leonid Chaichenets, Dirk Hundertmark, Peer Christian Kunstmann +1

We introduce a Littlewood-Paley characterization of modulation spaces and use it to give an alternative proof of the algebra property, somehow implicitly contained in Sugimoto (201…

math.AP2016★ 25 cited

On existence of global solutions of the one-dimensional cubic NLS for initial data in the modulation space $M_{p, q} (R)$

Leonid Chaichenets, Dirk Hundertmark, Peer Kunstmann +1

We prove global existence for the one-dimensional cubic non-linear Schrödinger equation in modulation spaces $M_{p, p^{'}}$ for $p$ sufficiently close to $2$ . In contrast to known resu…

math.FA2016★ 3 cited

On the numerical range of generators of symmetric $L_{\infty}$ -contractive semigroups

Markus Haase, Peer Christian Kunstmann, Hendrik Vogt

A result by Liskevich and Perelmuter from 1995 yields the optimal angle of analyticity for symmetric submarkovian semigroups on $L_{p}$ , $1 < p < \infty$ . C.~Kriegler showed in 2011 that…

Local well-posedness for the nonlinear Schrödinger equation in the intersection of modulation spaces Mp,qs​(Rd)∩M∞,1​(Rd)

On existence of global solutions of the one-dimensional cubic NLS for initial data in the modulation space Mp,q​(R)

On the numerical range of generators of symmetric L∞​-contractive semigroups

Local well-posedness for the nonlinear Schrödinger equation in the intersection of modulation spaces $M_{p, q}^{s} (R^{d}) \cap M_{\infty, 1} (R^{d})$

On existence of global solutions of the one-dimensional cubic NLS for initial data in the modulation space $M_{p, q} (R)$

On the numerical range of generators of symmetric $L_{\infty}$ -contractive semigroups