Brownian motion and harnack inequality for ... - Math.caltech.edu
Brownian motion and harnack inequality for ... - Math.caltech.edu
Brownian motion and harnack inequality for ... - Math.caltech.edu
SHOW LESS
You also want an ePaper? Increase the reach of your titles
YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.
248 M. AIZENMAN AND B. SIMON<br />
only depends on cR,cR <strong>and</strong> the fact that Q c { 1x1 c R 1 <strong>and</strong> not on the fact that<br />
the center of the sphere is at zero). Pick any function f supported in (x(6 < x<br />
< 26 } which is C" <strong>and</strong> positive. Let<br />
u = ( H'yj-.<br />
Then u2(Ht)-If>O since (-V)20. In a neighborhood of {xlIxI
Change language