Instability of Stationary Solutions of Evolution Equations on Graphs Under Dynamical Node Transition

DOI10.1007/978-3-319-16619-3_2zbMath1335.35262OpenAlexW2171147427MaRDI QIDQ2803978

Baptiste Vasseur, Joachim von Below

Publication date: 3 May 2016

Published in: Mathematical Technology of Networks (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-16619-3_2

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

Related Items (3)

Stability implies constancy for fully autonomous reaction-diffusion-equations on finite metric graphs ⋮ Stability Matters for Reaction–Diffusion–Equations on Metric Graphs Under the Anti-Kirchhoff Vertex Condition ⋮ Instability of stationary solutions of reaction-diffusion-equations on graphs

Cites Work

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• Instability of stationary solutions of reaction-diffusion-equations on graphs
• Parabolic problems with dynamical boundary conditions: eigenvalue expansions and blow up
• Some structurological remarks on a nonlocal field
• Ordinary differential equations. An introduction to nonlinear analysis. Transl. from the German by Gerhard Metzen
• Quasilinear parabolic systems with dynamical boundary conditions
• Evolution equations with dynamic boundary conditions
• Sturm-Liouville eigenvalue problems on networks
• Stability of nonconstant steady states in reaction-diffusion systems on graphs

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