Mathematics – Probability
Scientific paper
2009-07-24
Annals of Probability 2009, Vol. 37, No. 3, 1008-1043
Mathematics
Probability
Published in at http://dx.doi.org/10.1214/08-AOP427 the Annals of Probability (http://www.imstat.org/aop/) by the Institute of
Scientific paper
10.1214/08-AOP427
In this paper, we prove that there exists a unique, bounded continuous weak solution to the Dirichlet boundary value problem for a general class of second-order elliptic operators with singular coefficients, which does not necessarily have the maximum principle. Our method is probabilistic. The time reversal of symmetric Markov processes and the theory of Dirichlet forms play a crucial role in our approach.
Chen Zhen-Qing
Zhang Tusheng
No associations
LandOfFree
Time-reversal and elliptic boundary value problems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Time-reversal and elliptic boundary value problems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Time-reversal and elliptic boundary value problems will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-310372