EVENTUAL POSITIVITY AND ASYMPTOTIC BEHAVIOUR FOR HIGHER-ORDER EVOLUTION EQUATIONS

DOI10.1017/s0004972723001065OpenAlexW4387958997MaRDI QIDQ6151374

Jonathan Mui

Publication date: 12 February 2024

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972723001065

zbMATH Keywords

Banach latticespectral theoryone-parameter semigroupeventual positivity

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Higher-order parabolic equations (35K25)

Cites Work

• Eventually and asymptotically positive semigroups on Banach lattices
• Eventually positive semigroups of linear operators
• Positive operator semigroups. From finite to infinite dimensions
• Non-positivity of the semigroup generated by the Dirichlet-to-Neumann operator
• Evolution equations with eventually positive solutions
• Eventual local positivity for a biharmonic heat equation in \(\mathbb R^n\)
• Decay and local eventual positivity for biharmonic parabolic equations
• Bi-Laplacians on graphs and networks
• Bi-Kolmogorov type operators And weighted Rellich's inequalities
• The Bi-Laplacian with Wentzell boundary conditions on Lipschitz domains
• Reachability and Holdability of Nonnegative States
• On the eventual local positivity for polyharmonic heat equations
• Spectral properties of locally eventually positive operator semigroups
• Local uniform convergence and eventual positivity of solutions to biharmonic heat equations.
• Locally eventually positive operator semigroups

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