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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.
Translated title of the contribution | Тепловой поток для класса квадратичных функционалов с недиагональной главной матрицей. Существование глобального гладкого решения |
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Original language | English |
Pages (from-to) | 181-202 |
Number of pages | 22 |
Journal | St. Petersburg Mathematical Journal |
Volume | 30 |
Issue number | 2 |
DOIs | |
State | Published - Feb 2019 |
ID: 39997950