DOI

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 глобального гладкого решения
Original languageEnglish
Pages (from-to)181-202
Number of pages22
JournalSt. Petersburg Mathematical Journal
Volume30
Issue number2
DOIs
StatePublished - Feb 2019

    Scopus subject areas

  • Mathematics(all)
  • Analysis
  • Applied Mathematics
  • Algebra and Number Theory

    Research areas

  • Global solvability, Parabolic systems, Strong nonlinearity

ID: 39997950