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

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Abstract

In this article, we study homogenization for a class of monotone systems of first-order timedependent 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.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu, 730000, P.R. of China

    Junfang Wang & Peihao Zhao

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  1. Junfang Wang
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  2. Peihao Zhao
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Correspondence to Junfang Wang.

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Supported by National Natural Science Foundation of China (11471147).

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Wang, J., Zhao, P. Homogenization of Monotone Systems of Non-Coercive Hamilton-Jacobi Equations. Indian J Pure Appl Math 49, 285–300 (2018). https://doi.org/10.1007/s13226-018-0269-4

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  • DOI: https://doi.org/10.1007/s13226-018-0269-4

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