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  • Reverse Inequalities for Su...
    Klimov, V. S.

    Mathematical Notes, 04/2022, Volume: 111, Issue: 3-4
    Journal Article

    We study a wedge of solutions of the inequality , where is a linear elliptic operator of order . For the elements of the wedge, we establish an interior estimate of the form where is a compact subset of , is the Nikol’skii space, is the Lebesgue space of integrable functions, and the constant is independent of the function . Similar estimates that hold up to the boundaries are proved for the functions from satisfying the boundary conditions.