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On a Kirchhoff diffusion equation with integral condition

dc.contributor.authorNam, Danh Hua Quoc
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorLuc, Nguyen Hoang
dc.contributor.authorCan, Nguyen Huu
dc.contributor.authorID56389tr_TR
dc.date.accessioned2022-10-04T12:35:24Z
dc.date.available2022-10-04T12:35:24Z
dc.date.issued2020
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractThis paper is devoted to Kirchhoff-type parabolic problem with nonlocal integral condition. Our problem has many applications in modeling physical and biological phenomena. The first part of our paper concerns the local existence of the mild solution in Hilbert scales. Our results can be studied into two cases: homogeneous case and inhomogeneous case. In order to overcome difficulties, we applied Banach fixed point theorem and some new techniques on Sobolev spaces. The second part of the paper is to derive the ill-posedness of the mild solution in the sense of Hadamard.en_US
dc.description.publishedMonth12
dc.identifier.citationNam, Danh Hua Quoc...et al. (2020). "On a Kirchhoff diffusion equation with integral condition", Advances in Difference Equations, Vol. 2020, No. 1.en_US
dc.identifier.doi10.1186/s13662-020-03077-y
dc.identifier.issn1687-1839
dc.identifier.issue1en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/5796
dc.identifier.volume2020en_US
dc.language.isoenen_US
dc.relation.ispartofAdvances in Difference Equationsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectKirchhoff-Type Problemsen_US
dc.subjectNonlocal Problemen_US
dc.subjectRegularizationen_US
dc.subjectWell-Posednessen_US
dc.titleOn a Kirchhoff diffusion equation with integral conditiontr_TR
dc.titleOn a Kirchhoff Diffusion Equation With Integral Conditionen_US
dc.typeArticleen_US
dspace.entity.typePublication

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