Abstract:
For a second order linear elliptic equation with uniformly elliptic principal part in divergence form and drift from a Kato–Stummel type class we establish the unique solvability and estimates of solutions of the corresponding noncoercive Dirichlet problem.
Key words and phrases:noncoercive Dirichlet problem, Kato–Stummel classes, unique solvability, stationary convection-diffusion equation, drift.