References
- Bardi M, Capuzzo Dolcetta I. Optimal control and viscosity solutions of Hamilton-Jacobi-Bellmann equations. Basel: Birkauser; 1997.
- Capuzzo Dolcetta I. The Hopf solution of Hamilton-Jacobi equations. Elliptic and parabolic problems (Rolduc/Gaeta, 2001). River Edge (NJ): World Scientific; 2002.
- Crandall MG, Lions PL. Viscosity solutions of Hamilton-Jacobi equations. Trans. Am. Math. Soc. 1983;277:1–42.
- Crandall MG, Evans LC, Lions PL. Some properties of viscosity solutions of Hamilton-Jacobi equations. Trans. Am. Math. Soc. 1984;282:487–502.
- Souganidis PE. Existence of viscosity solutions of Hamilton-Jacobi equations. J. Differ. Eqns. 1985;56:345–390.
- Barles G. Solutions de viscosité des equations de Hamilton-Jacobi. Mathematiques et Applications 17. Paris: Springer; 1994.
- Biroli M. Subelliptic Hamilton-Jacobi equations: the coercive evolution case. Appl. Anal. 2013;92:1–14.
- Biroli M. Subelliptic Hamilton-Jacobi equations : the stationary case. Rend. Lincei Math. Appl. 2010;21:99–113.
- Bieske T. Parabolic equations realtive to vector fields. Electron. J. Differ. Equ. 2008;2008:1–7.
- Manfredi J, Stroffolini B. A version of the Hopf-Lax formula in the Heisenberg group. Commun. Partial Differ. Eqns. 2002;27:1139–1159.
- Cutri A, Lio F. Comparison and existence results for evolutive noncoercive first order Hamilton-Jacobi equations. ESAIM Control Optim. Calc. Var. 2007;13:484–502.
- Birindelli I, Wigniolle J. Homogenization of Hamilton-Jacobi equations in Heisenberg group. Commun. Pure Appl. Anal. 2003;2:461–479.
- Stroffolini B. Homogenization of Hamilton-Jacobi equations in Carnot groups. ESAIM:COCV. 2007;13:107–119.
- Wang CY. The comparison principle for viscosity solutions of fully nonlinear subelliptic equations in Carnot groups. arXiv:math/0309078v1 [math.AP], 2003.
- Fink AM. Almost periodic differential equations. Vol. 377, Lectures Notes in Mathematics. Berlin: Springer; 1974.
- Bostan M, Namah G. Time periodic solutions of Hamilton-Jacobi equations. Commun. Pure Appl. Anal. 2007;6:389–410.
- Corduneanu C. Almost periodic functions. New York: Chelsea; 1989.
- Bonfiglioli A, Lanconelli E, Uguzzoli F. Stratified Lie groups and potential theory for their sub-Laplacians. Monographs in Mathematics. Berlin-Heidelberg: Springer; 2007.
- Bellaïche A, Risler JJ, editors. Subriemannian geometry. Progress in Mathematics, 144. Basel: Birkhauser; 1996.
- Folland GB, Stein EM. Hardy spaces on homogeneous groups. Vol. 28, Mathematical Notes. Princeton (NJ): Princeton University Press; 1982.
- Crandall MG, Pazy PL. Nonlinear evolution equations in Banach spaces. Israel J. Math. 1972;11:57–94.
- Achdou Y, Capuzzo Dolcetta I. Approximation of solutions of Hamilton-Jacobi equations on the Heisenberg group. M2AN Math. Model. Numer. Anal. 2008;42:565–591.
- Beals R, Gaveau B, Grenier C. Hamilton-Jacobi theory and the heat kernel on Heisenberg group. J. Math. Pures Appl., (9). 2000;79:633–689.
- Dragoni F. Metric Hopf-Lax formula with semicontinuous data. Discrete Cont. Dyn. Syst. 2007;17:713–729.