Journal article
Parabolic type equations associated with the Dirichlet form on the Sierpinski gasket
- Abstract:
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By using analytic tools from stochastic analysis, we initiate a study of some non-linear parabolic equations on Sierpinski gasket, motivated by modellings of fluid flows along fractals (which can be considered as models of simplified rough porous media). Unlike the regular space case, such parabolic type equations involving non-linear convection terms must take a different form, due to the fact that convection terms must be singular to the “linear part” which defines the heat semigroup. In or...
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- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Version of record, 531.6KB)
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- Publisher copy:
- 10.1007/s00440-019-00910-8
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Authors
Bibliographic Details
- Publisher:
- Springer Publisher's website
- Journal:
- Probability Theory and Related Fields Journal website
- Volume:
- 175
- Issue:
- 3-4
- Pages:
- 1063–1098
- Publication date:
- 2019-04-04
- Acceptance date:
- 2019-03-24
- DOI:
- EISSN:
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1432-2064
- ISSN:
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0178-8051
- Source identifiers:
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984166
Item Description
- Language:
- English
- Keywords:
- Pubs id:
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pubs:984166
- UUID:
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uuid:89076fb6-e81c-48b7-bcf4-61aa1b50b311
- Local pid:
- pubs:984166
- Deposit date:
- 2019-03-24
Terms of use
- Copyright holder:
- Liu and Qian
- Copyright date:
- 2019
- Rights statement:
- © The Authors 2019. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
- Licence:
- CC Attribution (CC BY)
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