Stochastic homogenization of Hamilton-Jacobi equations in stationary ergodic spatio-temporal media
By Russell W. Schwab. 2009
50 citations recorded by the source corpus.
Subfields: Applied Mathematics, Computational Mechanics, Computational Theory and Mathematics
View Paper: https://www.semanticscholar.org/paper/b979874b7a690e41e3beb185c321a7fc7e7a65cd
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In Applied Mathematics
- S. Armstrong
- Bruno Ziliotto
- Panagiotis E. Souganidis
- Charles K. Smart
- Zhongwei Shen
- Jean-Christophe Mourrat
- Tuomo Kuusi
- Pierre Cardaliaguet
In Computational Mechanics
In Computational Theory and Mathematics
- S. Armstrong
- Bruno Ziliotto
- Panagiotis E. Souganidis
- Jean-Christophe Mourrat
- Zhongwei Shen
- Tuomo Kuusi
- Felix Otto
- Russell W. Schwab
Citations in the corpus
- Stochastic homogenization of a nonconvex Hamilton–Jacobi equation (2013, unknown): “[22] R. W. Schwab.”
- Stochastic Homogenization of Level-Set Convex Hamilton–Jacobi Equations (2012, result): “We also mention the work of Kosygina and Varadhan [16] and Schwab [24] who obtained homogenization results for these equations in spatio-temporal media.”
- 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 ”
- Stochastic Homogenization of Nonconvex Hamilton‐Jacobi Equations: A Counterexample (2015, background): “This result has been extended to various frameworks, still under the assumption that the Hamiltonian is convex in p (see [19, 15, 18, 17, 22, 4, 6]).”