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Heat flow for a class of quadratic functionals with nondiagonal principal matrix. Existence of a smooth global solution. / Arkhipova, A. A. .
в: St. Petersburg Mathematical Journal, Том 30, № 2, 02.2019, стр. 181-202.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - Heat flow for a class of quadratic functionals with nondiagonal principal matrix. Existence of a smooth global solution
AU - Arkhipova, A. A.
PY - 2019/2
Y1 - 2019/2
N2 - A class of quasilinear parabolic systems with nondiagonal principal matrices and strongly nonlinear additional terms is considered. The elliptic operator of the system has a variational structure. The existence of a global smooth solution is proved in the case of two spatial variables.
AB - A class of quasilinear parabolic systems with nondiagonal principal matrices and strongly nonlinear additional terms is considered. The elliptic operator of the system has a variational structure. The existence of a global smooth solution is proved in the case of two spatial variables.
KW - глобальная разрешимость, сильно нелинейные параболические системы
KW - Global solvability
KW - Parabolic systems
KW - Strong nonlinearity
UR - http://www.scopus.com/inward/record.url?scp=85062833576&partnerID=8YFLogxK
U2 - 10.1090/spmj/1537
DO - 10.1090/spmj/1537
M3 - Article
VL - 30
SP - 181
EP - 202
JO - St. Petersburg Mathematical Journal
JF - St. Petersburg Mathematical Journal
SN - 1061-0022
IS - 2
ER -
ID: 39997950