Estimates of solutions to the noncoercive Dirichlet problem for a second order elliptic equation in divergence form with drift from a Kato class

M. D. Surnachev

Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 50, Tome 519 (2022), pp. 229-263

Résumé

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.

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