Masalah Invers Pada Homogenisasi Periodik Persamaan Hamilton-Jacobi
Kata Kunci:
effective Hamiltonian, persamaan Hamilton-Jacobi, masalah inversReferensi
P. L. Lions, G. C. Papanicolaou, and S. R. S. Varadhan, “Homogenization of Hamilton-Jacobi equations,” Unpublished preprint, 1987.
M. Concordel, “Periodic Homogenization of Hamilton-Jacobi equations I: additive eigenvalues and variational formula,” Indiana Univ. Math. J., vol. 45, pp. 1095-1117, 1996.
M. Concordel, “Periodic Homogenization of Hamilton-Jacobi equations II: eikonal equations,” Proc. Roy. Soc. Edinburgh, vol. 127, pp. 665-689, 1997.
L. C. Evans, Partial Differential Equations Second Edition, American Mathematical Society, 2010.
S. Luo, H. V. Tran, and Y. Yu, “Some inverse problems in periodic homogenization of Hamilton-Jacobi equations,” Arc. Ration. Mech. Anal., vol. 221, no. 3, pp. 1585-1617, 2016.
N. Le, H. Mitake, and H. V. Tran, Dynamical and Geometric Aspects of Hamilton-Jacobi and Linearized Monge-Ampère Equations, Lectures Notes in Mathematics, 2016.
W. Jing, H.V. Tran, and Y.Yu, “Inverse problems, non-roundness and flat pieces of the effective burning velocity from an inviscid quadratic Hamilton-Jacobi model,” Nonlinearity, vol. 30, pp. 1853-1875, 2017.
H. V. Tran and Y.Yu, “A rigidity result for effective Hamiltonians with 3-mode perodic potentials,” Advanced in Math., vol. 334, pp. 300-321, 2018.
H. Mitake, H. V. Tran, and Y. Yu, “Rate of convergence in periodic homogenization of Hamilton-Jacobi equations: the convex setting,” Arch. Ration. Mech. Anal., vol. 233, no. 2, pp. 901-934, 2019.



