Journal
JOURNAL OF DIFFERENTIAL EQUATIONS
Volume 267, Issue 5, Pages 2918-2949Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jde.2019.03.036
Keywords
Stochastic homogenization; Nonconvex; Uneven; Hamilton-Jacobi equation; Stationary ergodic; Min-max formula/identity
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In this paper, we prove the stochastic homogenization of certain nonconvex Hamilton-Jacobi equations. The nonconvex Hamiltonians, which are generally uneven and inseparable, are generated by a sequence of quasiconvex Hamiltonians and a sequence of quasiconcave Hamiltonians through the min-max formula. We provide a monotonicity assumption on the contact values between those stably paired Hamiltonians so as to guarantee the stochastic homogenization. (C) 2019 Elsevier Inc. All rights reserved.
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