title: Regularity of solutions to a model oblique derivative problem for quasilinear parabolic systems with nondiagonal principal matrices
metadata.name: dc.contributor.author
metadata.value: Arkhipova, Arina A.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Grishina, Galina V.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2019-05-24T07:49:58Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2019-05-24T07:49:58Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2019-03
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Arkhipova A.A., Grishina G.V. Regularity of solutions to a model oblique derivative problem for quasilinear parabolic systems with nondiagonal principal matrices. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2019, vol. 6 (64), issue 1, pp. 3–26.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu01.2019.101
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/15534
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: We consider quasilinear parabolic systems of equations with nondiagonal principal matrices. The oblique derivative of a solution is deﬁned on the ﬂat part of the lateral surface of a parabolic cylinder. We do not assume smoothness of the principal matrix and the boundary functions in the time variable and prove partial Ho¨lder continuity of a weak solution near the ﬂat part of the lateral surface of the cylinder. Ho¨lder continuity of weak solutions to the correspondent linear problem is stated. A modiﬁcation of the A(t)-caloric approximation method is applied to study regularity of weak solutions.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: Работа первого автора выполнена при финансовой поддержке РФФИ (грант № 18-01-00472).
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: ru
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: St Petersburg State University
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Vestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 6 (64); Issue 1
metadata.lang: -
metadata.name: dc.subject
metadata.value: parabolic systems
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: nonlinearity
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: regularity
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: oblique derivative
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Regularity of solutions to a model oblique derivative problem for quasilinear parabolic systems with nondiagonal principal matrices
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 3-26.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/15534/1/3-26.pdf
resources.format: Adobe PDF
resources.size: 392,95 kB