Communications on Pure and Applied MathematicsVolume 17, Issue 1 p. 35-92 Article Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II† S. Agmon, S. Agmon Hebrew UniversitySearch for more papers by this authorA. Douglis, A. Douglis The University of MarylandSearch for more papers by this authorL. Nirenberg, L. Nirenberg New York UniversitySearch for more papers by this author S. Agmon, S. Agmon Hebrew UniversitySearch for more papers by this authorA. Douglis, A. Douglis The University of MarylandSearch for more papers by this authorL. Nirenberg, L. Nirenberg New York UniversitySearch for more papers by this author First published: February 1964 https://doi.org/10.1002/cpa.3160170104Citations: 1,052 † Part of the work for this paper was supported by the United States Army under Contract DA-ARO(D) 31-124-G156 and by the United States Navy under Contract Nonr-285(46). Douglis' work was supported by the National Science Foundation under Grant NSF G16003 and, prior to this, by the United States Air Force through the Air Force Office of Scientific Research of the Air Research and Development Command, under Contract AF 49 (638)-590. Reproduction in whole or in part is permitted for any purpose of the United States Government. AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onEmailFacebookTwitterLinkedInRedditWechat Bibliography 1 Agmon, S., Douglis, A., and Nirenberg, L., Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions, I, Comm. Pure Appl. Math., Vol. 12, 1959, pp. 623–727. 10.1002/cpa.3160120405 Web of Science®Google Scholar 2 Agmon, S., and Nirenberg, L., Properties of solutions of ordinary differential equations in Banach spaces, Comm. Pure Appl. Math., Vol. 16, 1963, pp. 121–239. 10.1002/cpa.3160160204 Web of Science®Google Scholar 3 Agranovich, M. S., and Dynin, A. S., General boundary problems for elliptic systems in multidimensional domains, Doklady Akad. Nauk SSSR, Vol. 146, 1962, pp. 511–514. Web of Science®Google Scholar Soviet Math., Vol. 3, 1962, pp. 1323–1327. Google Scholar 4 Atiyah, M. F., and Singer, I. M., The index of elliptic operators on compact manifolds, Bull. Amer. Math. 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