The Instability of Nonmonotonic Wave Solutions of Parabolic Equations

DOI10.1002/sapm198164157zbMath0452.35068OpenAlexW2553210142MaRDI QIDQ3898882

Patrick S. Hagan

Publication date: 1981

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/sapm198164157

zbMATH Keywords

perturbationsplane wave solutionsbounded nonmonotonic solutionstability of all steady solutions

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Parabolic equations and parabolic systems (35K99)

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Cites Work

• Unnamed Item
• Asymptotic behavior for solutions of a one-dimensional parabolic equation with homogeneous Neumann boundary conditions
• Stability of stationary solutions of a semilinear parabolic partial differential equation
• Multidimensional nonlinear diffusion arising in population genetics

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