Does anybody know an example of a uniformly elliptic second order operator?

$L=\sum_{ij}a_{ij}(x)D_{ij}$ with real continuous coefficients $a_{ij}=a_{ji}$ (no lower order terms) and Dirichlet b.c on a bounded domain (say the ball) having some non-real eigenvalue?

09 September 2013 2,620 1 View