Diffusion processes with $b\in L_{(p,q),\text{loc}}$

Abstract

We present some conditions in case $b\in L_{(p,q),\text{loc}}$ sufficient to guarantee the existence of a strong Markov diffusion process with drift $b$ and uniformly nondegenerate bounded matrix-valued diffusion. An example is given to illustrate how close these conditions are to be necessary.

21 page