The PDF file you selected should load here if your Web browser has a PDF reader plug-in installed (for example, a recent version of Adobe Acrobat Reader).

Alternatively, you can also download the PDF file directly to your computer, from where it can be opened using a PDF reader. To download the PDF, click the Download link below.

If you would like more information about how to print, save, and work with PDFs, Highwire Press provides a helpful Frequently Asked Questions about PDFs.

Download this PDF file Fullscreen Fullscreen Off

References

  1. R. Ba~nuelos and K. Burdzy, On the ``hot spots'' conjecture of J.~Rauch. Preprint. Math Review article not available.
  2. R. Bass and K. Burdzy, A boundary Harnack principle in twisted Holder domains. Ann. Math. 134, (1991), 253--276. Math Review link
  3. R. Bass and P. Hsu, Some potential theory for reflecting Brownian motion in Holder and Lipschitz domains. Ann. Probab., 19, (1991), 486-508. Math Review link
  4. K. Burdzy and W. Werner, A counterexample to the ``hot spots'' conjecture. Preprint.
  5. Z.-Q. Chen, On reflecting diffusion processes and Skorokhod decompositions. Probab. Theory Rel. Fields, 94, (1993), 281-351. Math Review link
  6. Z.-Q. Chen, P.~J. Fitzsimmons and R.J. Williams, Reflecting Brownian motions: quasimartingales and strong Caccioppoli sets. Potential Analysis, 2, (1993), 219-243. Math Review link
  7. M. Fukushima, A construction of reflecting barrier Brownian motions for bounded domains. Osaka J. Math., 4 (1967), 183-215. Math Review link
  8. M. Fukushima, Y. Oshima and M. Takeda. Dirichlet forms and symmetric Markov processes. Walter de Gruyter, Berlin, 1994 Math Review link
  9. M. Fukushima and M. Tomisaki, Construction and decomposition of reflecting diffusions on Lipschitz domains with Holder cusps. Probab. Theory Rel. Fields, 106 (1996), 521-557. Math Review link
  10. P.L. Lions and A.S. Sznitman, Stochastic differential equations with reflecting boundary conditions. Comm. Pure Appl. Math., 37 (1984), 511-537. Math Review link
  11. T.J. Lyons and W. Zheng, A crossing estimate for the canonical process on a Dirichlet space and a tightness result. Asterisque, 157-158 (1988), 249-271. Math Review link
  12. V.G. Maz'ja, Sobolev Spaces. Springer--Verlag, Berlin Heidelberg 1985. Math Review link
  13. D.W. Stroock, Diffusion semigroups corresponding to uniformly elliptic divergence form operator. Lect. Notes Math. 1321, 316-347, Springer-Verlag (1988). Math Review link
  14. M. Takeda, On a martingale method for symmetric diffusion processes and its applications. Osaka J. Math. 26 (1989), 605-623. Math Review link
  15. R.J. Williams and W. Zheng, On reflecting Brownian motion-a weak convergence approach. Ann. Inst. Henri Poincare, 26 (1990), 461-488. Math Review link
Bookmark and Share


Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.