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Regularity of weak solutions to a model problem with conjugation conditions for quasilinear parabolic systems. / Arkhipova, A. A. .
в: Journal of Mathematical Sciences, Том 219, № 6, 2016, стр. 850-873.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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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