One method to prove of existence weak solution of a mixed problem for 2D parabolic equations

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dc.contributor.authorSinsoysal B.
dc.contributor.authorRasulov M.
dc.date.accessioned2024-03-13T10:01:12Z
dc.date.available2024-03-13T10:01:12Z
dc.date.issued2020
dc.departmentİstanbul Beykent Üniversitesien_US
dc.description.abstractIn this study using the residue method the solution of the first type mixed problem for 2D linear parabolic equation in the bounded cylinder of the Euclidean space R3(x,y,t) is obtained in explicit form. When the smoothness of initial data does not permit to construct of the classical solution then it is necessary to extend the concept of classical solution. Based on the examined problem is proved that the obtained solution is a weak solution too. The use of this proof method to prove the existence of a weak solution can be applied to prove the existence of weak solutions for the more general problem with non-self-adjoint and even that contains higher-order derivative with respect to t in the boundary condition. © 2020 The Author(s)en_US
dc.identifier.doi10.1016/j.padiff.2020.100002
dc.identifier.issn2666-8181
dc.identifier.scopus2-s2.0-85125854599en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.1016/j.padiff.2020.100002
dc.identifier.urihttps://hdl.handle.net/20.500.12662/3020
dc.identifier.volume1en_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherElsevier B.V.en_US
dc.relation.ispartofPartial Differential Equations in Applied Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectExpansion formulaen_US
dc.subjectResidue methoden_US
dc.subjectWeak solutionen_US
dc.titleOne method to prove of existence weak solution of a mixed problem for 2D parabolic equationsen_US
dc.typeArticleen_US

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