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Smoothness of Parabolic Volume Potential in the Dini Space

  • I. V. Zhenyakova,
  • M. F. Cherepova

摘要

In the Dini space, we study the smoothness of parabolic volume potential in a semi-bounded spatial domain with nonsmooth lateral boundary of Dini–Hölder class in the situation where the potential density can grow in a certain way near the parabolic boundary of the domain.