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Multiplicative Control Problems for the Diffusion–Drift Charging Model of an Inhomogeneous Polar Dielectric

  • R. V. Brizitskii,
  • N. N. Maksimova

摘要

Abstract

We study a two-parameter multiplicative control problem for a model of electron-inducedcharging of an inhomogeneous polar dielectric. Sharp local stability estimates for its optimalsolutions with respect to small perturbations of both the cost functionals and the given function ofthe boundary value problem are derived. For one of the controls, the relay property or thebang–bang principle is established.