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- W4309705212 abstract "(1) Background: This paper is devoted to the study of a class of semilinear initial boundary value problems of parabolic type. (2) Methods: We make use of fractional powers of analytic semigroups and the interpolation theory of compact linear operators due to Lions–Peetre. (3) Results: We give a functional analytic proof of the C2 compactness of a bounded regular solution orbit for semilinear parabolic problems with Dirichlet, Neumann and Robin boundary conditions. (4) Conclusions: As an application, we study the dynamics of a population inhabiting a strongly heterogeneous environment that is modeled by a class of diffusive logistic equations with Dirichlet and Neumann boundary conditions." @default.
- W4309705212 created "2022-11-29" @default.
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- W4309705212 date "2022-11-21" @default.
- W4309705212 modified "2023-10-14" @default.
- W4309705212 title "A Class of Semilinear Parabolic Problems and Analytic Semigroups" @default.
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- W4309705212 doi "https://doi.org/10.3390/math10224381" @default.
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