Matches in SemOpenAlex for { <https://semopenalex.org/work/W3099082326> ?p ?o ?g. }
- W3099082326 abstract "We investigate the long term behavior in terms of finite dimensional global and exponential attractors, as time goes to infinity, of solutions to a semilinear reaction-diffusion equation on non-smooth domains subject to nonlocal Robin boundary conditions, characterized by the presence of fractional diffusion on the boundary. Our results are of general character and apply to a large class of irregular domains, including domains whose boundary is Holder continuous and domains which have fractal-like geometry. In addition to recovering most of the existing results on existence, regularity, uniqueness, stability, attractor existence, and dimension, for the well-known reaction-diffusion equation in smooth domains, the framework we develop also makes possible a number of new results for all diffusion models in other non-smooth settings." @default.
- W3099082326 created "2020-11-23" @default.
- W3099082326 creator A5004351524 @default.
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- W3099082326 date "2016-06-25" @default.
- W3099082326 modified "2023-09-26" @default.
- W3099082326 title "Long-term behavior of reaction–diffusion equations with nonlocal boundary conditions on rough domains" @default.
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- W3099082326 doi "https://doi.org/10.1007/s00033-016-0673-8" @default.
- W3099082326 hasPublicationYear "2016" @default.
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