On uniform H2-estimates in periodic homogenization

Royal Society of Edinburgh - Proceedings A

Volumn 131, Issue 3, 2001, Pages 499-517

  Conca, C ^a   Vanninathan, M ^b  

^a UNIVERSITY OF CHILE   (Chile)

^b TATA INSTITUTE OF FUNDAMENTAL RESEARCH   (India)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 23044528059     PISSN: 03082105     EISSN: None     Source Type: Journal    
DOI: 10.1017/s0308210501000233     Document Type: Article

References (9)

1. A. Bensoussan, J. L. Lions and G. Papanicolaou. Asymptotic analysis for periodic structures (Amsterdam: North-Holland, 1978).
2. R. Coifman, P. L. Lions, Y. Meyer and S. Semmes. Compensated compactness and Hardy spaces. J. Math. Pures Appl. 72 (1993), 247-286.
3. C. Conca and M. Vanninathan. Homogenization of periodic structures via Bloch decomposition. SIAM J. Appl. Math. 57 (1997), 1639-1659.
4. C. Conca, J. Planchard and M. Vanninathan. Fluids and periodic structures. In Research in applied mathematics, vol. 38 (Wiley, 1995).
5. P. Gérard. Mesures semi-classiques et ondes de Bloch. In Séminaire Ecole Polytechnique 1990-1991, Exposé No. XVI, Paris, pp. 1-19 (1991).
6. D. Gilberg and N. S. Trudinger. Elliptic partial differential equations of second order (Springer, 1977).
7. p-estimate for the gradient of solutions of second order elliptic divergence equations. Ann. Scuola Norm. Sup. Pisa 17 (1963), 189-206.
8. F. Murat. Compacité par compensation. Ann. Scuola Norm. Sup. Pisa Cl. Sci. Ser. IV 5 (1978), 489-507.
9. L. Tartar. Compensated compactness and applications to partial differential equations. In Nonlinear analysis and mechanics, Heriot-Watt symposium (ed. R. J. Knops). Research Notes in Mathematics, vol. 39, pp. 136-212 (Boston, MA: Pitman, 1979).