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Stochastic homogenization of nondegenerate viscous HJ equations in 1d - MaRDI portal

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Stochastic homogenization of nondegenerate viscous HJ equations in 1d

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Publication:6510677

arXiv2306.12145MaRDI QIDQ6510677

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Abstract: We prove homogenization for a viscous Hamilton-Jacobi equation in dimension one in stationary ergodic environments with a quasiconvex and superlinear Hamiltonian of fairly general type. We furthermore show that the effective Hamiltonian is quasiconvex. This latter result is new even in the periodic setting, despite homogenization has been known for quite some time.












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