On the regularity of a generalized diffusion problem arising in population dynamics set in a cylindrical domain

DOI10.1016/j.jmaa.2017.01.026zbMath1356.35068OpenAlexW2541261959MaRDI QIDQ511246

Alexandre Thorel, David Manceau, Rabah Labbas, Stéphane Maingot

Publication date: 14 February 2017

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.2017.01.026

zbMATH Keywords

interpolation spacesmaximal regularitybounded imaginary powersUMD spaces

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Abstract parabolic equations (35K90) Initial-boundary value problems for higher-order parabolic equations (35K35) Population dynamics (general) (92D25) Semilinear parabolic equations (35K58)

Related Items (7)

On a generalized diffusion problem: a complex network approach ⋮ Generation of analytic semigroups for some generalized diffusion operators in \(L^p\)-spaces ⋮ On the solvability of fourth-order boundary value problems with accretive operators ⋮ Operational approach for biharmonic equations in \(L^p\)-spaces ⋮ Generalized linear models for population dynamics in two juxtaposed habitats ⋮ A biharmonic transmission problem in \(L^p\)-spaces ⋮ On general Bitsadze-Samarskii problems of elliptic type in \(L^p\) cases

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