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arXiv · 1310.1749

Stochastic homogenization of viscous Hamilton-Jacobi equations and applications

Scott N. Armstrong·Hung V. Tran
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Abstract

We present stochastic homogenization results for viscous Hamilton-Jacobi equations using a new argument which is based only on the subadditive structure of maximal subsolutions (solutions of the "metric problem"). This permits us to give qualitative homogenization results under very general hypotheses: in particular, we treat non-uniformly coercive Hamiltonians which satisfy instead a weaker averaging condition. As an application, we derive a general quenched large deviations principle for diffusions in random environments and with absorbing random potentials.

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Scott N. Armstrong, Hung V. Tran. 2013-10-07. Stochastic homogenization of viscous Hamilton-Jacobi equations and applications. https://doi.org/10.2140/apde.2014.7.1969

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