On the rate of convergence in homogenization of Hamilton-Jacobi equations

Indiana University Mathematics Journal

Volumn 50, Issue 3, 2001, Pages 1113-1128

  Capuzzo Dolcetta, I ^a   Ishii, H ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039300006     PISSN: 00222518     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (13)

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4. M. BARDI, I. CAPUZZO DOLCETTA, Optimal Control and Viscosity Solutions of Hamilton-Jacobi-Bellman Equations, Systems & Control: Foundations and Applications, Birkhauser (1997).
5. E.N. BARRON, Averaging in Lagrange and minimax problems of optimal control, SIAM J. Control Optim. 31 (1993), 1630-1652.
6. A. BENSOUSSAN, J.L. LIONS, G. PAPANICOLAU, Asymptotic Analysis for Periodic Structures, North-Holland (1998).
7. M.C. CONCORDEL, Periodic homogenization of Hamilton-Jacobi equations: additive eigenvalues and variational formula, Indiana Univ. Math. Journal 45 (1996), 1095-1117.
8. M.C. CONCORDEL, Periodic homogenization of Hamilton-Jacobi equations: eikonal equations, Proc.Roy.Soc Edinburgh 127A (1997), 665-689.
9. L. C. EVANS, Periodic homogenization of certain partial differential equations, Proc. Roy. Soc. Edinburgh 120A (1992), 245-265.
10. L.C. EVANS, The perturbed test function technique for viscosity solutions of partial differential equations, Proc.Roy.Soc. Edinburgh 111A (1989), 359-375.
11. K. HORIE AND H. ISHII, Homogenization of Hamilton-Jacobi equations on domains with small scale periodic structure, Indiana Univ. Math. Journal 47 (1998), 1011-1058.
12. P.-L. LIONS, G. PAPANICOLAU AND S.R.S. VARADHAN, Homogenization of Hamilton-Jacobi equations, Preprint (1986).
13. P.-L. LIONS , Generalized solutions of Hamilton-Jacobi equations, Research Notes in Mathematics Vol. 69, Pitman (1982).