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Regularity of Solutions to Quasilinear Parabolic Systems with Time-Nonsmooth Principal Matrix and the Neumann Boundary Condition. / Arkhipova, A. A. ; Grishina, G. V. .
в: Journal of Mathematical Sciences (United States), Том 232, № 3, 07.2018, стр. 232-253.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - Regularity of Solutions to Quasilinear Parabolic Systems with Time-Nonsmooth Principal Matrix and the Neumann Boundary Condition
AU - Arkhipova, A. A.
AU - Grishina, G. V.
N1 - Arkhipova, A.A., Grishina, G.V. Regularity of Solutions to Quasilinear Parabolic Systems with Time-Nonsmooth Principal Matrix and the Neumann Boundary Condition. J Math Sci 232, 232–253 (2018). https://doi.org/10.1007/s10958-018-3871-4
PY - 2018/7
Y1 - 2018/7
N2 - We consider a quasilinear parabolic system of equations with nondiagonal principal matrix in a model parabolic cylinder with the Neumann condition on the plane part Γ of the lateral surface of the cylinder. We prove the partial regularity (the Hölder continuity) of the weak solution in a neighborhood of Γ by the method of A(t)-caloric approximations adapted to the problem with the Neumann boundary condition.
AB - We consider a quasilinear parabolic system of equations with nondiagonal principal matrix in a model parabolic cylinder with the Neumann condition on the plane part Γ of the lateral surface of the cylinder. We prove the partial regularity (the Hölder continuity) of the weak solution in a neighborhood of Γ by the method of A(t)-caloric approximations adapted to the problem with the Neumann boundary condition.
UR - http://www.scopus.com/inward/record.url?scp=85047901486&partnerID=8YFLogxK
U2 - 10.1007/s10958-018-3871-4
DO - 10.1007/s10958-018-3871-4
M3 - Article
VL - 232
SP - 232
EP - 253
JO - Journal of Mathematical Sciences
JF - Journal of Mathematical Sciences
SN - 1072-3374
IS - 3
ER -
ID: 28233353