Constrained and linear Harnack inequalities for parabolic equations (Q1365478)

Both authors have recently published several papers with essential contributions to the investigation of differential Harnack inequalities for parabolic equations on Riemannian manifolds. In the present paper, they prove generalizations of some of the results, namely extensions of the Harnack inequalities for the heat equation, the Ricci flow on surfaces, and for a curvature shortening flow, called constrained Harnack inequalities, and extensions of the trace Harnack inequalities for the Ricci flow, called linear Harnack inequalities.