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Random homogenization of coercive Hamilton–Jacobi equations in 1d

  • Hongwei GaoEmail author
Article

Abstract

In this paper, we prove the random homogenization of general coercive non-convex Hamilton–Jacobi equations in the one dimensional case. This extends the result of Armstrong, Tran and Yu when the Hamiltonian has a separable form \(H(p,x,\omega )=H(p)+V(x,\omega )\) for any coercive H(p).

Mathematics Subject Classification

35B27 

Notes

Acknowledgments

The author would like to thank the anonymous referee for helpful suggestions in writing. This work is partially supported by the author’s advisor Professor Yifeng Yu’s Grant DMS-1151919.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of CaliforniaIrvineUSA

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