Solvability of second-order equations with hierarchically partially BMO coefficients
Solvability of second-order equations with hierarchically partially BMO coefficients
复制标题
具有分层部分 BMO 系数的二阶方程的可解性
DOI：
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发表时间：
2010
期刊：
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通讯作者：
Hongjie Dong
中科院分区：
文献类型：
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作者：
Hongjie Dong
利用最近关于散度形式方程的一些结果，研究了任意$p\in (1,\infty)$的二阶非散度形式椭圆型和抛物型方程的$L_p$ -可解性。假设前导系数在局部BMO空间中具有适当小的BMO半模。我们不仅将Krylov和Kim[14]-[18]的几个先前的结果推广到$p$的全范围，而且还处理了更一般系数的方程。
By using some recent results for divergence form equations, we study the $L_p$-solvability of second-order elliptic and parabolic equations in nondivergence form for any $p\in (1,\infty)$. The leading coefficients are assumed to be in locally BMO spaces with suitably small BMO seminorms. We not only extend several previous results by Krylov and Kim [14]-[18] to the full range of $p$, but also deal with equations with more general coefficients.