4 citations · 21 across the 27 of their papers we have counts for
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The global solvability of the Kirchhoff equation with Sobolev data
Tokio Matsuyama, Lenny Neyt
We consider linear and non-linear Cauchy equations in the context of Sobolev spaces. In particular, we show the global existence of solutions to the Kirchhoff equation with initial…
A note on the barrelledness of weighted -spaces of ultradifferentiable functions
Andreas Debrouwere, Lenny Neyt
In this note we consider weighted -spaces of ultradifferentiable functions defined via a weight function and a weight system, as introduced in our previous work [4]. We prov…
Kernel theorems for Beurling-Björck type spaces
Lenny Neyt, Jasson Vindas
We prove new kernel theorems for a general class of Beurling-Björck type spaces. In particular, our results cover the classical Beurling-Björck spaces and…
A note on composition operators between weighted spaces of smooth functions
Andreas Debrouwere, Lenny Neyt
For certain weighted locally convex spaces and of one real variable smooth functions, we characterize the smooth functions for which the comp…
A lower bound for the life span of solutions to the Kirchhoff equation with Gevrey data
Tokio Matsuyama, Lenny Neyt
We provide a new lower bound for the life span of solutions to the Kirchhoff equation for which the initial data belongs to the Gevrey space. This lower bound strictly improves the…