On Elliptic Operators in Nondivergence and in Double Divergence Form
Robert C. McOwen · Birkhäuser Basel eBooks · 2009
This work surveys results on the existence and asymptotic behavior of the fundamental solution for an elliptic operator L in nondivergence form, including recent results for operators whose coefficients are continuous with mild conditions on the modulus of continuity: if the square of the modulus of continuity satisfies the Dini condition, then there is an integral invariant which controls the behavior of solutions of L * u =0 and whether there is a fundamental solution for L that is asymptotic to the fundamental solution for the associated constant coefficient operator.