Regularity of weak solutions to a model problem with conjugation conditions for quasilinear parabolic systems

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Regularity of weak solutions to a model problem with conjugation conditions for quasilinear parabolic systems. / Arkhipova, A. A. .

In: Journal of Mathematical Sciences, Vol. 219, No. 6, 2016, p. 850-873.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{ffed53bc36484ba79fa2ad07cf801d2f,

title = "Regularity of weak solutions to a model problem with conjugation conditions for quasilinear parabolic systems",

abstract = "We consider a parabolic quasilinear second order system of equations in divergence form in a model parabolic cylinder. We prove the H{\"o}lder continuity of a weak solution on a set of full measure in the cylinder. It is shown that the linear system has no singular set. We use a modified method of A-caloric approximation which takes into account the conjugation conditions on the interface between media.",

keywords = "регулярность решений",

author = "Arkhipova, {A. A.}",

note = "Arkhipova, A.A. Regularity of Weak Solutions to a Model Problem with Conjugation Conditions for Quasilinear Parabolic Systems of Equations. J Math Sci 219, 850–873 (2016). https://doi.org/10.1007/s10958-016-3151-0",

year = "2016",

language = "English",

volume = "219",

pages = "850--873",

journal = "Journal of Mathematical Sciences",

issn = "1072-3374",

publisher = "Springer Nature",

number = "6",

}

RIS

TY - JOUR

T1 - Regularity of weak solutions to a model problem with conjugation conditions for quasilinear parabolic systems

AU - Arkhipova, A. A.

N1 - Arkhipova, A.A. Regularity of Weak Solutions to a Model Problem with Conjugation Conditions for Quasilinear Parabolic Systems of Equations. J Math Sci 219, 850–873 (2016). https://doi.org/10.1007/s10958-016-3151-0

PY - 2016

Y1 - 2016

N2 - We consider a parabolic quasilinear second order system of equations in divergence form in a model parabolic cylinder. We prove the Hölder continuity of a weak solution on a set of full measure in the cylinder. It is shown that the linear system has no singular set. We use a modified method of A-caloric approximation which takes into account the conjugation conditions on the interface between media.

AB - We consider a parabolic quasilinear second order system of equations in divergence form in a model parabolic cylinder. We prove the Hölder continuity of a weak solution on a set of full measure in the cylinder. It is shown that the linear system has no singular set. We use a modified method of A-caloric approximation which takes into account the conjugation conditions on the interface between media.

KW - регулярность решений

UR - https://link.springer.com/article/10.1007/s10958-016-3151-0

M3 - Article

VL - 219

SP - 850

EP - 873

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 6

ER -

ID: 9342454