W 1 , p -estimates for weak solutions are quite well known, provided that u is sufficiently regular, e.g., u ∈ L ∞ .

Apr 2, 2015 · ON WEAK SOLUTIONS OF ELLIPTIC EQUATIONS WITH. SINGULAR DRIFTS. ∗. HYUNSEOK KIM†. AND YOUNG-HEON KIM‡. Abstract. We consider the Dirichlet ...

We consider the Dirichlet problem for second-order linear elliptic equations with singular drift terms given by a vector field u. W1,p-estimates for weak ...

Title:On the existence and uniqueness of weak solutions to elliptic equations with a singular drift. Authors:Misha Chernobai, Tim Shilkin. View a PDF of the ...

We consider the Dirichlet problem for second-order linear elliptic equations with singular drift terms given by a vector field $u$. $W^{1,p}$-estimates for ...

Aug 23, 2022 · In this paper we prove the existence and uniqueness of weak solutions to the Dirichlet problem for an elliptic equation with a drift b satisfying \operatorname ...

We investigate the weak solvability and properties of weak solutions to the Dirichlet problem for a scalar elliptic equation.

Kim and Y. Kim, On weak solutions of elliptic equations with singular drifts, SIAM J. Math. Anal., 47 (2015), 1271-1290. doi ...

Sep 26, 2022 · Abstract: We prove the existence and uniqueness of weak solutions to the Dirichlet problem for an elliptic equation with a drift b ...

In this paper we prove the existence and uniqueness of weak solutions to the Dirichlet problem for an elliptic equation with a drift.