Asymptotic Behavior of the Non-Autonomous Reaction-Diffusion Equation with Robin Boundary Condition

dc.contributor.authorÖztürk, Eylem
dc.contributor.departmentOthertr_TR
dc.contributor.facultyOthertr_TR
dc.date.accessioned2021-10-26T08:15:36Z
dc.date.available2021-10-26T08:15:36Z
dc.date.issued2019-02-01
dc.description.abstractIn this paper, we investigate the long-time behavior of the time-dependent reaction-diffusion equation u_{t}-Δu+a(x)|u|^{ρ}u-b(x)|u|^{ν}u=h(x,t) with Robin boundary condition. We begin this paper with the existence and uniqueness results of the solution to the problem. For the asymptotic behavior, we firstly prove the existence of an absorbing set in W₂¹(Ω)∩L_{ρ+2}(Ω). The existence of a uniform attractor is obtained in W₂¹(Ω)∩L_{ρ+2}(Ω).tr_TR
dc.description.indexTrdizintr_TR
dc.identifier.endpage440tr_TR
dc.identifier.issn/e-issn2618-6470
dc.identifier.issue1tr_TR
dc.identifier.startpage442tr_TR
dc.identifier.urihttps://doi.org/10.31801/cfsuasmas.425500tr_TR
dc.identifier.urihttp://hdl.handle.net/20.500.12575/75755
dc.identifier.volume68tr_TR
dc.language.isoentr_TR
dc.publisherAnkara Üniversitesitr_TR
dc.relation.isversionof10.31801/cfsuasmas.425500tr_TR
dc.relation.journalCommunications Faculty of Sciences University of Ankara Series A1 Mathematics and Statisticstr_TR
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıtr_TR
dc.subjectReaction-diffusion equationtr_TR
dc.subjectRobin boundary valuetr_TR
dc.subjectExistence and uniqueness theoremstr_TR
dc.titleAsymptotic Behavior of the Non-Autonomous Reaction-Diffusion Equation with Robin Boundary Conditiontr_TR
dc.typeArticletr_TR

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