On the approximation of elliptic operators with discontinuous coefficients
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1976)
- Volume: 3, Issue: 1, page 121-137
- ISSN: 0391-173X
Access Full Article
topHow to cite
topReferences
top- [1] R. Courant - D. Hilbert, Methods of Mathematical Physics, Volume I, Interscience Publishers, Inc., New York, 1953. Zbl0051.28802MR65391
- [2] L. Gärding, Dirichlet's problem for linear elliptic partial differential equations, Math. Scand., 1 (1953), pp. 55-72. Zbl0053.39101MR64979
- [3] G. Fichera, Existence Theorems in Elasticity, Handbuch der Physik, Volume VIa/2, ed. C. TRUESDELL, Springer-Verlag, Berlin, 1972.
- [4] M.E. Gurtin, The Theory of Linear Elasticity, Handbuch der Physik, Volume VIa/2, ed. C. TRUESDELL, Springer-Verlag, Berlin, 1972.
- [5] L.P. Khoroshun, Relationships between stresses and deformations in lamellar media, Soviet Applied Mechanics, 2 (1966), pp. 14-17.
- [6] O.A. Ladyzhenskaya - N.N. Ural'tseva, Linear and Quasilinear Elliptic Equations, Trans. ed. L. EHRENPREIS, Academic Press, New York, 1968. Zbl0164.13002MR244627
- [7] A. Marino - S. Spagnolo, Un tipo di approssimazione dell'operatore Σ ijDi(aij(x)Dj) con operatori Σ jDj(β(x)Dj), Ann. Scuola Norm. Sup. Pisa, 23 (1969), pp. 657-673. Zbl0187.35305
- [8] N.J. Pagano, The role of effective moduli in the elastic analysis of composite laminates, Composite Materials, eds. L. J. BROUTMAN - R. H. KROCK, Volume 2: Mechanics of Composite Materials, ed. G. P. SENDECKYJ, Academic Press, New York, 1974.
- [9] N.J. Pagano, Exact moduli of anisotropic laminates, Composite Materials, eds. L. J. BROUTMAN - R. H. KROCK, Volume 22: Mechanics of Composite Materials, ed. G. P. SENDECKYJ, Academic Press, New York, 1974.
- [10] R. Rellich, Ein Satz über Mittleve Konvergenz, Nachr. Ges. Wissen. Göttingen, Math. Phys., Kl., (1930), pp. 30-35. Zbl56.0224.02JFM56.0224.02
- [11] S. Spagnolo, Sulla convergenza di soluzioni di equazioni paraboliche ed ellittiche, Ann. Scuola Norm. Sup. Pisa, 22 (1968), pp. 571-597. Zbl0174.42101MR240443
- [12] S. Timoshenko - J.N. Goodier, Theory of Elasticity, McGraw-Hill Book Co., New York, 1951. Zbl0045.26402MR45547