Second Order Elliptic PDE
home.iitk.ac.in › ~tmk › coursesDe nition 3.2. We say a second order operator Lis elliptic or coercive if there is a positive constant >0 such that j˘j2 A(x)˘:˘ a.e. in x; 8˘= (˘ i) 2Rn: The second order operator Lis said to be degenerate elliptic if 0 A(x)˘:˘ a.e. in x; 8˘= (˘ i) 2Rn: We remark that for the integrals in the de ntion of weak solution to make