Elliptic equations with VMO a, b$\in L_{d}$, and c$\in L_{d/2}$

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چکیده

We consider elliptic equations with operators $L=a^{ij}D_{ij}+b^{i}D_{i}-c$ $a$ being almost in VMO, $b\in L_{d}$ and $c\in L_{q}$, $c\geq 0$, $d>q\geq d/2$. prove the solvability of $Lu=f\in L_{p}$ bounded $C^{1,1}$-domains, $10$. Weak uniqueness martingale problem associated such is also obtained.

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ژورنال

عنوان ژورنال: Transactions of the American Mathematical Society

سال: 2021

ISSN: ['2330-0000']

DOI: https://doi.org/10.1090/tran/8282