Analytic semigroups generated by the dispersal process in two habitats incorporating individual behavior at the interface

DOI10.1016/j.jmaa.2018.10.085zbMath1406.35135OpenAlexW2899234574MaRDI QIDQ1633570

Rabah Labbas, Angelo Favini, Abdallah Menad, Ahmed Medeghri

Publication date: 20 December 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.10.085

zbMATH Keywords

semigroupsdiffusion equationpopulation dynamicsdispersal process

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Population dynamics (general) (92D25) Elliptic equations and elliptic systems (35J99) Parabolic equations and parabolic systems (35K99)

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Cites Work

• An abstract transmission problem in a thin layer, I: Sharp estimates
• Solvability of elliptic differential equations, set in three habitats with skewness boundary conditions at the interfaces
• Fractional powers of closed operators and the semigroups generated by them
• Semigroups of linear operators and applications to partial differential equations
• On the abstract Cauchy problem of parabolic type in spaces of continuous functions
• Diffusion models for population dynamics incorporating individual behavior at boundaries: Applications to refuge design
• The functional calculus for sectorial operators
• Biased movement at a boundary and conditional occupancy times for diffusion processes
• Analytic semigroups and optimal regularity in parabolic problems
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