论文标题
Donsker和Varadhan的非本地逆问题
The Nonlocal Inverse Problem of Donsker and Varadhan
论文作者
论文摘要
在本文中，我们证明了Donsker和Varadhan〜 \ cite {dv}的非局部版本的非局部反问题，用于$$ $ \ cl u = l_k u = l_k u + + \ cb_k（h，h，u）的非局部椭圆运算符，$ l_k $ l_k $ co $ co coeff in $ l_k $ coeff in $ coeff in $ coeff in complook for $ norliptic for $ nliptic offers and and and and and and and and and and and and and and n y y y n y locefters： \ to \ r $平滑且有限，$ \ cb_k（h，u）$是相关的双线性形式，可以被视为非局部运输术语。
In this paper we prove a nonlocal version of the celebrated Inverse Problem of Donsker and Varadhan~\cite{DV} for nonlocal elliptic operators of the form $$ \cL u = L_K u + \cB_K (h,u), $$ where $L_K$ is a uniformly elliptic nonlocal operator with smooth coefficients, and, for $h:\R^N \to \R$ smooth and bounded, $\cB_K(h,u)$ is the associated bilinear form, which can be regarded as a nonlocal transport term.
