Fluctuation estimates for the multi-cell formula in stochastic homogenization of partitions
- In this paper we derive quantitative estimates in the context of stochastic homogenization for integral functionals defined on finite partitions, where the random surface integrand is assumed to be stationary. Requiring the integrand to satisfy in addition a multiscale functional inequality, we control quantitatively the fluctuations of the asymptotic cell formulas defining the homogenized surface integrand. As a byproduct we obtain a simplified cell formula where we replace cubes by almost flat hyperrectangles.
Download full text files
Statistics
Print On Demand
Additional Services
| Author: | Annika Bach, Matthias RufGND |
|---|---|
| URN: | urn:nbn:de:bvb:384-opus4-1137473 |
| Frontdoor URL | https://opus.bibliothek.uni-augsburg.de/opus4/113747 |
| ISSN: | 0944-2669OPAC |
| ISSN: | 1432-0835OPAC |
| Parent Title (English): | Calculus of Variations and Partial Differential Equations |
| Publisher: | Springer |
| Place of publication: | Berlin |
| Type: | Article |
| Language: | English |
| Year of first Publication: | 2022 |
| Publishing Institution: | Universität Augsburg |
| Release Date: | 2024/07/01 |
| Volume: | 61 |
| Issue: | 3 |
| First Page: | 84 |
| DOI: | https://doi.org/10.1007/s00526-022-02191-x |
| Institutes: | Mathematisch-Naturwissenschaftlich-Technische Fakultät |
| Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik | |
| Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik / Lehrstuhl für Nichtlineare Analysis | |
| Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
| Licence (German): |  CC-BY 4.0: Creative Commons: Namensnennung (mit Print on Demand) |
