W. Reichel

activity

20072026

most cited"Boundary blowup" type sub-solutions to semilinear elliptic equations with Hardy potential

29 citations · 58 across the 19 of their papers we have counts for

collaborators

Showing 2022 · math.APShow all

4 papers · 2 filters

math.AP2022

Breathers and rogue waves for semilinear curl-curl wave equations

Michael Plum, Wolfgang Reichel

We consider localized solutions of variants of the semilinear curl-curl wave equation $s (x) \partial_{t}^{2} U + \nabla \times \nabla \times U + q (x) U \pm V (x) ∣ U ∣^{p - 1} U = 0$ for $(x,t)…

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.AP2022

Wellposedness for a (1+1)-dimensional wave equation with quasilinear boundary condition

Sebastian Ohrem, Wolfgang Reichel, Roland Schnaubelt

We consider the linear wave equation $V (x) u_{tt} (x, t) - u_{xx} (x, t) = 0$ on $[0, \infty) \times [0, \infty)$ with initial conditions and a nonlinear Neumann boundary condition $u_…

math.AP2022

Traveling waves for a quasilinear wave equation

Gabriele Bruell, Piotr Idzik, Wolfgang Reichel

We consider a 2+1 dimensional wave equation appearing in the context of polarized waves for the nonlinear Maxwell equations. The equation is quasilinear in the time derivatives and…