<p>We establish the unique solvability and estimates of solutions of the corresponding noncoercive Dirichlet problem for a&#xa0;second-order linear elliptic equation with uniformly elliptic principal part in divergence form and drift from a&#xa0;class of the Kato–Stummel type. Bibliography: 51 titles.</p>

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ESTIMATES FOR SOLUTIONS OF THE NONCOERCIVE DIRICHLET PROBLEM FOR A SECOND-ORDER ELLIPTIC EQUATION IN DIVERGENCE FORM WITH DRIFT FROM A KATO CLASS

  • M. D. Surnachev

摘要

We establish the unique solvability and estimates of solutions of the corresponding noncoercive Dirichlet problem for a second-order linear elliptic equation with uniformly elliptic principal part in divergence form and drift from a class of the Kato–Stummel type. Bibliography: 51 titles.