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Parabolic stochastic partial differential equations with dynamical boundary conditions

Parabolic stochastic partial differential equations with dynamical boundary conditions

We consider systems of nonlinear parabolic stochastic partial differential equations with dynamical boundary conditions. These boundary conditions are qualitatively different from the standard, like Dirichlet, or Neumann, or Robin boundary conditions. Such conditions contain a time derivative and can be used to describe mathematical models with a dynamics on the …