A generalization of the problem of transmission

 Access to full text

 Full (PDF)

1. [1] Agmon S., The coerciveness problem for integro-differential forms, J. D'Analyse Math., Vol. 6, 1958, pp. 183-223. Zbl0119.32302MR132912
2. [2] Agmon, S., Douglis, A., and Niuenberg, L., Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions I, Comm. Pure Appl. Math. Vol. 12, 1959, No. 4; II, to appear. Zbl0093.10401MR125307
3. [3] Aronszajn, N., and Milgram, A.N.Differential operators on Riemannian manifolds, Rend. Ciro. Mat. Palermo, Ser. 2, Vol. 2, 1953, pp. 1-61. Zbl0053.06502MR64255
4. [4] Browder, F.E., Estimates and existence theorems for elliptic boundary value problems, Proc. Nat. Acad. Sciences, Vol. 45, No. 3, pp. 365-372. Zbl0093.29402MR132913
5. [5] Friedrichs, K.O., On the differentiability of the solutions of elliptic differential equations, Comm. Pure Appl. Math.. Vol. 6. 1953, pp. 299-325. Zbl0051.32703MR58828
6. [6] John. F., Derivatives of continuous weak solutions of linear elliptic equations, Comm. Pure Appl. Math., Vol. 5, 1953, pp. 327-335. Zbl0051.32801MR58829
7. [7] Lax, P.D., and Milgram, A., Parabolic equations, Contributions to the Theory of Partial Differential Equations, Ann. of Math. Studies, Princeton University Press. 1954 pp. 167-190. Zbl0058.08703MR67317
8. [8] Lions, J.L., Problèmes Aux limites en théorie des distributions, Aota Matematica, n. 94, 1955, pp. 13-153. Zbl0068.30902MR75425
9. [9] Lions, J.L.Sur les problèmes aux limites du type dérivée oblique, Ann. of Math., Vol. 64, 1956, pp. 207-239. Zbl0074.08103MR86231
10. [10] Lions, J.L., Contributions à un problème de M. M. Picone, Ann. di Mat. pura e applio. series 4, Vol. 41, 1955, pp. 201-219. Zbl0075.10103MR89978
11. [11] Nirenberg, L., Remarks on strongly elliptic partial diferential equations, Comm. Pure and Appl. Math., Vol. 8, 1955, pp. 648-674. Zbl0067.07602MR75415
12. [12] Picone, M., Sur un problème nouveau pour l'équation linéaire aux dérivées partielles de la théorie mathematique classique de l'élasticité, Colloque sur les équations aux dérivées partielles, Bruxelles, May 1954. Zbl0065.08702
13. [13] Schechter, M., On estimating elliptic partial differential operators in the L2 norm, Amer. J. Math, Vol. 79, 1957, pp. 431-443. Zbl0079.11701MR88648
14. [14] Schechter, M., Integral ineqnalities for partial differential operators and functions, satisfying general boundary conditions, Comm. Pure Appl. Math., Vol. 12, 1959, pp. 37-66. Zbl0093.29401MR141879
15. [15] Schechter, M.General Boundary Value problems for Elliptic partial differential equations, Comm. Pure Appl. Math. Vol. 12, 1959, pp. 457-486. Zbl0087.30204MR125323
16. [16] Schechter, M., Mixed boundary problems for general elliptic equations, Comm. Pure Appl. Math., Vol. 13, 1960, No. 2. Zbl0095.08001MR125331
17. [17] Stampacchia, G., Su un problema relativo alle equazioni di tipo ellittico del secondo ordine, Ricerche di matem., Vol. 5, 1956, pp. 3-24. Zbl0073.32001MR82607
18. [18] Campanato, S., Sul probiema di M. Picone relativo all'equilibrio di un corpo elastico incastrato, Ricerche di Matem. Vol. 1, 1957, pp. 125-149. Zbl0097.30601MR94579
19. [19] Campanato, S., Sui Problemi al contorno per aietemi di equazioni differenziali lineari del tipo dell'elasticità, Annali della Souola Normale Superiore di Pisa, Series 3, Vol. 13, Fasc. 2, 1959. Zbl0087.17701

1. Jaak Peetre, Mixed problems for higher order elliptic equations in two variables, I