Homogenization of pathwise Hamilton–Jacobi equations

Armstrong Armstrong, 2014, Error estimates and convergence rates for the stochastic homogenization of Hamilton–Jacobi equations, J. Am. Math. Soc., 27, 479, 10.1090/S0894-0347-2014-00783-9 Armstrong, 2013, Stochastic homogenization of level-set convex Hamilton–Jacobi equations, Int. Math. Res. Not., 2013, 3420, 10.1093/imrn/rns155 Armstrong, 2015, Stochastic homogenization of a nonconvex Hamilton–Jacobi equation, Calc. Var. Partial Differ. Equ., 54, 1507, 10.1007/s00526-015-0833-2 Armstrong, 2016, Stochastic homogenization of nonconvex Hamilton–Jacobi equations in one space dimension, J. Differ. Equ., 261, 2702, 10.1016/j.jde.2016.05.010 Billingsley, 1968 Capuzzo-Dolcetta, 2001, On the rate of convergence in homogenization of Hamilton–Jacobi equations, Indiana Univ. Math. J., 50, 1113, 10.1512/iumj.2001.50.1933 Crandall, 1992, User's guide to viscosity solutions of second order partial differential equations, Bull. Am. Math. Soc. (N.S.), 27, 1, 10.1090/S0273-0979-1992-00266-5 Evans, 1992, Periodic homogenization of certain partial differential equations, Proc. R. Soc. Edinb., 120A, 245, 10.1017/S0308210500032121 Feldman Friz Gassiat Ishii, 1985, Hamilton–Jacobi equations with discontinuous Hamiltonians on arbitrary open sets, Bull. Fac. Sci. Engrg. Chuo Univ., 28, 33 Lions, 1982, Generalized Solutions of Hamilton–Jacobi Equations, vol. 69 Lions, 1985, Some properties of the viscosity semigroups for Hamilton–Jacobi equations, vol. 132, 43 Pierre-Louis Lions, George Papanicolaou, S.R. Srinivasa Varadhan, Homogenization of Hamilton–Jacobi equations, unpublished paper. Lions, 1987, Remarks on Hamilton–Jacobi equations with measurable time-dependent Hamiltonians, Nonlinear Anal., 11, 613, 10.1016/0362-546X(87)90076-9 Pierre-Louis Lions, Panagiotis E. Souganidis, in preparation. Lions, 1998, Fully nonlinear stochastic partial differential equations, C. R. Acad. Sci. Paris Sér. I Math., 326, 1085, 10.1016/S0764-4442(98)80067-0 Lions, 1998, Fully nonlinear stochastic partial differential equations: non-smooth equations and applications, C. R. Acad. Sci. Paris Sér. I Math., 327, 735, 10.1016/S0764-4442(98)80161-4 Lions, 2000, Uniqueness of weak solutions of fully nonlinear stochastic partial differential equations, C. R. Acad. Sci. Paris Sér. I Math., 331, 783, 10.1016/S0764-4442(00)01597-4 Lions, 2000, Fully nonlinear stochastic partial differential equations with semilinear stochastic dependence, C. R. Acad. Sci. Paris Sér. I Math., 331, 617, 10.1016/S0764-4442(00)00583-8 Pierre-Louis Lions, Panagiotis E. Souganidis, Fully Nonlinear Stochastic Partial Differential Equations, Book, in preparation. Lions, 2005, Homogenization of “viscous” Hamilton–Jacobi equations in stationary ergodic media, Commun. Partial Differ. Equ., 30, 335, 10.1081/PDE-200050077 Luo Rezakhanlou, 2000, Homogenization for stochastic Hamilton–Jacobi equations, Arch. Ration. Mech. Anal., 151, 277, 10.1007/s002050050198 Seeger Souganidis, 1999, Stochastic homogenization for Hamilton–Jacobi equations and applications, Asymptot. Anal., 20, 1 Ziliotto