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Parabolic type equations associated with the Dirichlet form on the Sierpinski gasket

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...

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Bibliographic Details
Published in:Probab Theory Relat Fields
Main Authors: Liu, Xuan, Qian, Zhongmin
Format: Artigo
Language:Inglês
Published: Springer Berlin Heidelberg 2019
Subjects:
Online Access:https://ncbi.nlm.nih.gov/pmc/articles/PMC6825650/
https://ncbi.nlm.nih.gov/pubmed/31700199
https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1007/s00440-019-00910-8
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