... +∞.This completes the proof of Theorem 2. 4. Smoothness of the intersection local time In this section, we consider the smoothness of the intersection localtime. Our main object is to explain ... 0.3. Existence of the intersection local time The aim of this section is to prove the existence of the intersectionlocal time of SHandSH, for an H =12and d ≥ 2. We have obtained the ... converge in this case.For Hd ≥ 2, according to Theorem 2, ε,Tdoes not converge in L2(Ω), and therefore, T, the intersection local time of SHandSH,does not exist.Using the following...