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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2402.17031 |
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Table of Contents:
- We prove homogenization for possibly degenerate viscous Hamilton-Jacobi equations with a Hamiltonian of the form $G(p)+V(x,ω)$, where $G$ is a quasiconvex, locally Lipschitz function with superlinear growth, the potential $V(x,ω)$ is bounded and Lipschitz continuous, and the diffusion coefficient $a(x,ω)$ is allowed to vanish on some regions or even on the whole $\mathbb{R}$. The class of random media we consider is defined by an explicit scaled hill condition on the pair $(a,V)$ which is fulfilled as long as the environment is not ``rigid''.