Rates of convergence for the homogenization of fully nonlinear uniformly elliptic pde in random media
By Luis Caffarelli, Panagiotis E. Souganidis. 2010
108 citations recorded by the source corpus.
Subfields: Applied Mathematics, Computational Theory and Mathematics, Mechanics of Materials
View Paper: https://www.semanticscholar.org/paper/5d965fd188a5feb71caea44b6611499e3a814adc
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In Applied Mathematics
- S. Armstrong
- Charles K. Smart
- Panagiotis E. Souganidis
- Bruno Ziliotto
- Zhongwei Shen
- Jean-Christophe Mourrat
- Tuomo Kuusi
- Pierre Cardaliaguet
In Computational Theory and Mathematics
- S. Armstrong
- Charles K. Smart
- Panagiotis E. Souganidis
- Zhongwei Shen
- Jean-Christophe Mourrat
- Tuomo Kuusi
- Felix Otto
- Bruno Ziliotto
In Mechanics of Materials
Citations in the corpus
- Stochastic homogenization of Hamilton-Jacobi and degenerate Bellman equations in unbounded environments (2011, methodology): “We also mention the work of Caffarelli, Souganidis and Wang [4] on the stochastic homogenization of uniformly elliptic equations of second-order, Caffarelli and Souganidis [3] who obtained a rate of convergence for the latter in strongly mixing environments, and Schwab [30] on the homogenization of ”
- Quantitative Stochastic Homogenization of Elliptic Equations in Nondivergence Form (2013, methodology): “Rather than constraining the solutions via the introduction of an obstacle and measuring the extent to which the solutions feel the constraint, as in [5,6], we allow the solutions to be free and measure the curvature of their graphs.”