# Meeting Details

Title: TBA CCMA PDEs and Numerical Methods Seminar Series Volodymyr Rybalko Abstract: The asymtotic behavior of ground state eigenvalue and eigenfunction of singularly perturbed elliptic operators of the form $A_\epsilon=\epsilon^2 a_{ij}\partial_i\partial_j +\epsilon b_i\partial_i+c$ in the limit $\epsilon\to 0$ is addressed. WKB-type asymptotics are obtained following an approach due to L.C.Evans and H.Ishi. The main ingradients of this approach are elliptic estimates and the viscosity solutions technique.