M. Plum

activity

19982022

most citedA Computer-Assisted Uniqueness Proof for a Semilinear Elliptic Boundary Value Problem

12 citations · 13 across the 8 of their papers we have counts for

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4 papers · 1 filter

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

Stability of black solitons in optical systems with intensity-dependent dispersion

Dmitry E. Pelinovsky, Michael Plum

Black solitons are identical in the nonlinear Schrödinger (NLS) equation with intensity-dependent dispersion and the cubic defocusing NLS equation. We prove that the intensity-depe…

math.AP2021

Operator estimates for homogenization of the Robin Laplacian in a perforated domain

Andrii Khrabustovskyi, Michael Plum

Let $ε > 0$ be a small parameter. We consider the domain $Ω_{ε} := Ω ∖ D_{ε}$ , where $Ω$ is an open domain in $R^{n}$ , and $D_{ε}$ is a…

math.AP2012★ 12 cited

A Computer-Assisted Uniqueness Proof for a Semilinear Elliptic Boundary Value Problem

Patrick J. McKenna, Filomena Pacella, Michael Plum +1

A wide variety of articles, starting with the famous paper (Gidas, Ni and Nirenberg in Commun. Math. Phys. 68, 209-243 (1979)) is devoted to the uniqueness question for the semilin…