Title: Stability implies constancy for fully autonomous reaction-diffusion-equations on finite metric graphs.
Authors: Below, Joachim von; Lubary, José A.
Abstract: We show that there are no stable stationary nonconstant solutions of the evolution problem (1) for fully autonomous reaction-diffusion-equations on the edges of a finite metric graph G under continuity and Kirchhoff flow transition conditions at the vertices. (1) ...on the edges kj, ... at the vertices vi.
Subjects: CONSTANCY; HEAT equation; STATIONARY processes; KIRCHHOFF'S theory of diffraction; LAPLACIAN matrices
Publication: Networks & Heterogeneous Media, 2018, Vol 13, Issue 4, p691
ISSN: 1556-1801
Publication type: Academic Journal
DOI: 10.3934/nhm.2018031

Stability implies constancy for fully autonomous reaction-diffusion-equations on finite metric graphs.

Below, Joachim von; Lubary, José A.