Heat kernel estimates for inner uniform subsets of Harnack-type Dirichlet space
dc.contributor.author | Gyrya, Pavel | |
dc.date.accessioned | 2007-06-19T19:57:32Z | |
dc.date.available | 2012-06-19T06:06:34Z | |
dc.date.issued | 2007-06-19T19:57:32Z | |
dc.description.abstract | The main result of this thesis is the two-sided heat kernel estimates for both Dirichlet and Neumann problem in any inner uniform domain of the Euclidean space $\mathbb R^n$. The results of this thesis hold more generally for any inner uniform domain in many other spaces with Gaussian-type heat kernel estimates. We assume that the heat equation is associated with a local divergence form differential operator, or more generally with a strictly local Dirichlet form on a complete locally compact metric space. Other results include the (parabolic) Harnack inequality and the boundary Harnack principle. | en_US |
dc.format.extent | 846893 bytes | |
dc.format.mimetype | application/pdf | |
dc.identifier.other | bibid: 6476332 | |
dc.identifier.uri | https://hdl.handle.net/1813/7729 | |
dc.language.iso | en_US | en_US |
dc.subject | heat kernel estimates | en_US |
dc.subject | Harnack | en_US |
dc.subject | inner uniform set | en_US |
dc.subject | Dirichlet form | en_US |
dc.title | Heat kernel estimates for inner uniform subsets of Harnack-type Dirichlet space | en_US |
dc.type | dissertation or thesis | en_US |
Files
Original bundle
1 - 1 of 1