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 contributionТепловой поток для класса квадратичных функционалов с недиагональной главной матрицей. Существование гладкого глобального решения.
Original languageEnglish
Pages (from-to)45-75
JournalАЛГЕБРА И АНАЛИЗ
Volume30
Issue number2
StatePublished - 2018

    Research areas

  • parabolic systems, strong nonlinearity, global solvability

ID: 28233482