Daniela Maier

collaborators

2 papers

math.AP2022

Breather solutions for a semilinear Klein-Gordon equation on a periodic metric graph

Daniela Maier, Wolfgang Reichel, Guido Schneider

We consider the nonlinear Klein-Gordon equation $\partial_{t}^{2} u (x, t) - \partial_{x}^{2} u (x, t) + α u (x, t) = \pm ∣ u (x, t) ∣^{p - 1} u (x, t)$ on a periodic metric graph (necklace graph) for $p > 1$ with K…

math.AP2018

Construction of breather solutions for nonlinear Klein-Gordon equations on periodic metric graphs

Daniela Maier

The purpose of this paper is to construct small-amplitude breather solutions for a nonlinear Klein-Gordon equation posed on a periodic metric graph via spatial dynamics and center…