Positive harmonic functions and diffusion : An integrated analytic and probabilistic approach


where aij , bi, V are nice functions in R (say Lipschitz). Fixing a domain D ⊂ R we denote by CL(D) the class of all positive solutions of the equation Lu = 0 in D. Properties of CL(D) may be studied from an analytic point of view, a probabilistic one using diffusions, or with techniques from both fields combined. The point of the book under review is to… (More)