Remarks on Hamilton-Jacobi equations with measurable time-dependent Hamiltonians

Bènilan, 1972, Equations d'évolution dans un espace de Banach quelconque et applications, Thèse d'Etat Bènilan P., Crandall M.G. & Pazy A., Book to appear. Crandall, 1984, Some properties of viscosity solutions of Hamilton-Jacobi equations, Trans. Am. math. Soc., 282, 487, 10.1090/S0002-9947-1984-0732102-X Crandall, 1971, Generation of semi-groups of nonlinear transformations on general Banach spaces, Am. J. Math., 93, 265, 10.2307/2373376 Crandall, 1971, A theorem and a counterexample in the theory of semigroups of nonlinear transformations, Trans. Am. math. Soc., 160, 263, 10.1090/S0002-9947-1971-0301592-X Crandall, 1981, Conditions d'unicité pour les solutions généralisées des équations de Hamilton-Jacobi du premier ordre, C.r. Acad. Sci. Paris, 292, 183 Crandall, 1983, Viscosity solutions of Hamilton-Jacobi equations, Trans. Am. math. Soc., 277, 1, 10.1090/S0002-9947-1983-0690039-8 Crandall, 1986, On existence and uniqueness of solutions of Hamilton-Jacobi equations, Nonlinear Analysis, 10, 353, 10.1016/0362-546X(86)90133-1 Crandall, 1983, Solutions de viscosité non bornées des équations de Hamilton-Jacobi du premier ordre, C.r. Acad. Sci. Paris, 298, 217 Crandall, 1985, Hamilton-Jacobi equations in infinite dimensions. Part I, J. funct. Analysis, 63, 379, 10.1016/0022-1236(85)90011-4 Crandall, 1986, Hamilton-Jacobi equations in infinite dimensions. Part II, J. funct. Analysis, 65, 368, 10.1016/0022-1236(86)90026-1 Crandall, 1985, Solutions de viscosité pour les équations de Hamilton-Jacobi dans les espaces de Banach, C.r. Acad. Sci. Paris, 300, 67 Ishii, 1985, Hamilton-Jacobi equations with discontinuous Hamiltonians on arbitrary open sets, Bull. Fac. Sci. Engng Chuo Univ., 28, 33 Lions, 1982