On the Robin problem in fractal domains
| dc.contributor.author | Bass, Richard F. | |
| dc.contributor.author | Burdzy, Krzysztof | |
| dc.contributor.author | Chen, Zhen-Qing | |
| dc.date.accessioned | 2005-10-17T17:17:58Z | |
| dc.date.available | 2005-10-17T17:17:58Z | |
| dc.date.issued | 2005 | |
| dc.description.abstract | We study the solution to the Robin boundary problem for the Laplacian in a Euclidean domain. We present some families of fractal domains where the infimum is greater than 0, and some other families of domains where it is equal to 0. We also give a new result on "trap domains" defined in [BCM], i.e., domains where reflecting Brownian motion takes a long time to reach the center of the domain. | en |
| dc.description.sponsorship | Research partially supported by National Science Foundation (NSF) grants DMS-0244737 and DMS-0303310. | en |
| dc.format.extent | 371012 bytes | |
| dc.format.mimetype | application/pdf | |
| dc.identifier.uri | http://hdl.handle.net/1773/2136 | |
| dc.language.iso | en_US | |
| dc.subject | Robin boundary problem | en |
| dc.subject | Trap domain | en |
| dc.subject | Brownian motion | en |
| dc.title | On the Robin problem in fractal domains | en |
| dc.type | Article | en |