On a parabolic problem with nonlinear Newton boundary conditions

نویسندگان

  • Miloslav Feistauer
  • Karel Najzar
  • Karel Švadlenka
چکیده

The paper is concerned with the study of a parabolic initial-boundary value problem with nonlinear Newton boundary condition considered in a two-dimensional domain. The goal is to prove the existence and uniqueness of a weak solution to the problem in the case when the nonlinearity in the Newton boundary condition does not satisfy any monotonicity condition and to analyze the finite element approximation.

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تاریخ انتشار 2010