Homogenization of Monotone Systems of Non-coercive Hamilton-Jacobi Equations

Wang Junfang; Zhao Peihao

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Homogenization of Monotone Systems of Non-coercive Hamilton-Jacobi Equations

Wang Junfang * #,Zhao Peihao

Department of Mathematics, Lanzhou University, Lanzhou, 730000, P. R. of China

*Correspondence author

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Funding: none

Opened online: 3 November 2008

Accepted by: none

Citation: Wang Junfang,Zhao Peihao.Homogenization of Monotone Systems of Non-coercive Hamilton-Jacobi Equations[OL]. [ 3 November 2008] http://en.paper.edu.cn/en_releasepaper/content/25334

In this article, we study homogenization for a class of monotone systems of first-order time-dependent Hamilton-Jacobi equations in the case of non-coercive Hamiltonians. And we prove the uniform convergence of the solution of oscillating systems to the solution of the homogenized systems.

Keywords:Monotone systems; Non-coercive Hamilton-Jacobi equations;Perron’s method

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