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A partial homogenization result for nonconvex viscous Hamilton-Jacobi equations

Abstract:

We provide a general result concerning the homogenization of nonconvex viscous Hamilton-Jacobi equations in the stationary, ergodic setting. In particular, we show that homogenization occurs for a non-empty set of points within every level set of the effective Hamiltonian, and for every point in the minimal level set of the effective Hamiltonian. In addition, these methods provide a new proof of homogenization, in full, for convex equations and, for a class of level-set convex equations. Fina...

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Publication status:
Not published
Peer review status:
Not peer reviewed

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Institution:
University of Oxford
Division:
MPLS Division
Department:
Mathematical Institute
Department:
Unknown
Role:
Author
ORCID:
0000-0002-0412-142X
Publication date:
2014-02-21
Keywords:
Pubs id:
pubs:926182
UUID:
uuid:cd0091e5-0f0d-4ef3-ace3-3761a6d1ed76
Local pid:
pubs:926182
Source identifiers:
926182
Deposit date:
2018-10-10

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