... in x and C 1 in t with H51der continuous v,~s and vt of exponent a and a12, respectively. Moreover, we have (3.54) IwR(t,x)l < M, (t,x) e [0,~) • BR, and for any Xo C ~" and ... between (1.1) and (2.12) holds for adapted strong and weak solutions, respectively. On the other hand, from (2.13) we see easily that the group {A, B, a, b, c} satisfies (H)m if and only if ... where b(x) ~b(x,O(x)) and ~(x) ~a(x,0(x)). Therefore, X is a time- homogeneous Markov process with some transition probability density p(t,x,y). Since both b and ~ are bounded and satisfy a Lipschitz...