Asymptotics of the principal eigenvalue of a linear elliptic operator with large advection

Rui Peng, Guanghui Zhang

Consider the eigenvalue problem of a linear second order elliptic operator: \begin{equation} \nonumber -DΔφ-2α\nabla m(x)\cdot \nablaφ+V(x)φ=λφ \ \hbox{ in }Ω, \end{equatio…