On the spectrum of a mixed-type operator with applications to rotating wave solutions

2022/04/12 by Joel Kübler, Kübler, Joel
Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2204.05824

openalex publication_date 2022/04/12 · openalex created_date 2022/04/19 · openalex updated_date 2026/07/28

Abstract

We study rotating wave solutions of the nonlinear wave equation \ \beginaligned ∂_t² v - Δv + m v amp; = |v|^p-2 v amp;amp; in ℝ × B
v amp; = 0 amp;amp; on ℝ × ∂ B \endaligned . where 2

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