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Quantification of global properties of symmetric Markov processes (Regularity and Singularity for Partial Differential Equations with Conservation Laws)
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- Shiozawa, Yuichi
- Graduate School of Natural Science and Technology, Department of Environmental and Mathematical Sciences, Okayama University
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Description
We summarize recent results on upper/lower rate functions for symmetric Markov processes generated by regular Dirichlet forms. These functions are quantitative expressions of conservativeness/transience. We give upper/lower rate functions in terms of the growth rates of the volume and coefficient.
Journal
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- RIMS Kokyuroku Bessatsu
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RIMS Kokyuroku Bessatsu B63 51-75, 2017-05
Research Institute for Mathematical Sciences, Kyoto University
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Details 詳細情報について
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- CRID
- 1050564288413964672
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- NII Article ID
- 120006715377
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- NII Book ID
- AA12196120
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- ISSN
- 18816193
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- HANDLE
- 2433/243649
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- Text Lang
- en
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- Article Type
- departmental bulletin paper
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- Data Source
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- IRDB
- CiNii Articles