On the dominance of partial differential operators II

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1. [1] S. Agmon, The coerciveness problem for integro-differential formsJournal D'Analyse Mathematique, vol. 6 (1958), pp. 183-223. Zbl0119.32302MR132912
2. [2] S. Agmon, A. Douglis, and L. Nirenberg, Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions I, Communications on Pure and Applied Mathematics, vol.12 (1959), pp. 623-727. Zbl0093.10401MR125307
3. [3] F.E. Browder, Estimates and existence theorems for elliptic boundary value problems, Proceedings of the National Academy of Sciences, U.S.A., vol. 45 (1959), pp. 365-372. Zbl0093.29402MR132913
4. [4] G. Ehrling, On a type of eigenvalue problems for certain elliptic differential operators, Mathematica Scandinavica, vol. 2 (1954), pp. 267-285. Zbl0056.32304MR67311
5. [5] K.O. Friedrichs, The identity of weak and strong extensions of differential operators, Transactions of the American Mathematical Society, vol. 55 (1944), pp. 132-151. Zbl0061.26201MR9701
6. [6] L. Hörmander, On the theory of general partial differential operators, Acta Mathematica, vol. 94 (1955), pp. 161-248. Zbl0067.32201MR76151
7. [7] L. Hörmander, On the regularity of solutions of boundary problems, ibid., vol. 99 (1958), pp. 225-264. Zbl0083.09201MR131655
8. [8] L. Hörmander, On interior regularity of the solutions of partial differential equations, Communications on Pure and Applied Mathematics, vol. 11 (1958), pp. 197-218. Zbl0081.31501MR106330
9. [9] J.L. Lions and E. Magenes, Problemi ai limiti non omogenei I, Annali della Scnola Normale Superiore di Pisa Scienze Fisiche e Matematiche, Serie 3, vol 14 (1960), pp. 269-308. Zbl0095.30303MR133583
10. [10] Ya B. Lopatinski, Reducing boundary problems for differential equations of elliptic type to regular integral equations, Ukrainskiĭ Matematicĕskiĭ Žurnal, vol. 5 (1953), pp. 123-151. (Russian) Zbl0206.40402MR73828
11. [11] L. Nirenberg, Remarks on strongly elliptic partial differential equations, Communications on Pure and Applied Mathematics, vol. 8 (1955), pp. 648-674. Zbl0067.07602MR75415
12. [12] R.E.A.C. Paley and N. Wiener, Fourier Transforms in the Complex Domain, Colloquium Publications, vol. 19, The American Mathematical Society, New York, 1934. Zbl0011.01601MR1451142
13. [13] J. Peetre, On estimating the solutions of hypoelliptic differential equations near the plane boundary, Mathematica Scandinavica, vol. 9 (1961), pp. 337-351. Zbl0113.30601MR146517
14. [14] J. Peetre, Another approach to elliptic boundary problems, Communications on Pure and Applied Mathematics, vol. 14 (1961), pp. 711-731. Zbl0104.07303MR171069
15. [15] M. Schechter, On estimating elliptic partial differential operators in the L2 norm, American Journal of Mathematics, vol. 79 (1957), pp. 431-443. Zbl0079.11701MR88648
16. [16] M. Schechter, Integral inequalities for partial differential operators and functions satisfying general boundary conditions, Communications on Pnre and Applied Mathematics, vol. 12 (1959), pp. 37-66. Zbl0093.29401MR141879
17. [17] M. Schechter, General boundary value problems for elliptic partial differential equations, ibid., vol. 12 (1959), pp. 457-486. Zbl0087.30204MR125323
18. [18] M. Schechter, Remarks on elliptic boundary value problems. ibid., vol. 12 (1959), pp. 561-578. Zbl0095.07902MR125330
19. [19] M. Schechter, On the dominance of partial differential operators, Transactions of the American Mathematical Society, vol. 107 (1963), pp. 237-260. Zbl0118.31002MR188613
20. [20] L. Schwartz, Theorie des distributions I, II, Hermann, Paris, 1950-1951. Zbl0042.11405

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