Green\'s function estimates for elliptic and parabolic operators: Applications to quantitative stochastic homogenization and invariance principles for degenerate random environments and interacting particle systems
This thesis is divided into two parts: In the first one (Chapters 1 and 2), we deal with problems arising from quantitative homogenization of the random elliptic operator in divergence form $-\\nabla \\cdot a \\nabla$. In Chapter 1 we study existence and stochastic bounds for the Green function $G$...
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| Format: | Doctoral Thesis |
| Language: | English |
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Universitätsbibliothek Leipzig
2017
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| Online Access: | http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa-225533 http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa-225533 http://www.qucosa.de/fileadmin/data/qucosa/documents/22553/Thesis_final-signed.pdf |