Coerciveness of linear partial differential operators for functions satisfying zero dirichlet‐type boundary data
1958; Wiley; Volume: 11; Issue: 2 Linguagem: Inglês
10.1002/cpa.3160110202
ISSN1097-0312
Autores Tópico(s)Advanced Harmonic Analysis Research
ResumoCommunications on Pure and Applied MathematicsVolume 11, Issue 2 p. 153-174 Article Coerciveness of linear partial differential operators for functions satisfying zero dirichlet-type boundary data Martin Schechter, Martin Schechter The research for this paper was carried out while the author was an Institute of Mathematical Sciences Fellow.Search for more papers by this author Martin Schechter, Martin Schechter The research for this paper was carried out while the author was an Institute of Mathematical Sciences Fellow.Search for more papers by this author First published: May 1958 https://doi.org/10.1002/cpa.3160110202Citations: 15 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 Aronszajn, N., On coercive integro-differential quadratic forms, Proc. Conf. Partial Differential Equations, Univ. of Kansas, 1954, Technical Report No. 14, pp. 94–106. 2 Browder, F. E., On regularity properties of solutions of elliptic differential equations, Comm. Pure Appl. Math., Vol. 9, 1956, pp. 351–361. 3 Browder, F. E., Regularity properties at the boundary of solutions of elliptic boundary value problems, Abstract, Bull. Amer. Math. Soc., Vol. 62, 1956, p. 381. 4 Caccippoli, R., Limitazioni integrali per le soluzioni di un'equazione lineare ellittion a derivate parziali, Giorn. Mat. Battaglini, Vol. 80, 1950-1951, pp. 186–212. 5 Calderón, A. P., and Zygmund, A., On the existence of singular integrals, Acta Math., Vol. 88, 1952, pp. 85–139. 6 Ehrling, G., On a type of eigenvalue problems for certain elliptic differential operators, Math. Scand., Vol. 2, 1954, pp. 267–285. 7 Gårding, L., Dirichlet's problem for linear elliptic partial differential equations, Math. Scand., Vol. 1, 1953, pp. 57–72 8 Guseva, O. V., On boundary problems for strongly elliptic systems, Doklady Akad. Nauk SSSR, Vol. 102, 1955, pp. 1069–1072. 9 Hörmander, L., On the theory of general partial differential operators, Acta Math., Vol. 94, 1955, pp. 161–284. 10 LadyzKenskaya, O., On the closure of an elliptic operator, Doklady Akad. Nauk SSSR, Vol. 79, 1951, pp. 723–725. 11 Nirenberg, L., Remarks on strongly elliptic partial differential equations, Comm. Pure Appl. Math., Vol. 8, 1955, pp. 649–675. 12 Nirenberg, L., Estimates and existence of solutions of elliptic equations, Comm. Pure Appl. Math., Vol. 9, 1956, pp. 509–530. 13 Schauder, J., Sur les équations linéaires du type elliptique à coefficients continus, C. R. Acad. Sci. Paris, Vol. 199, 1934, pp. 1366–1368. 14 Schechter, M., On estimating elliptic partial differential operators in the L2 norm, Amer. J. Math., Vol. 79, 1957, pp. 431–443. 15 Morrey, Jr., C. B., and Nirenberg, L., On the analyticity of the solutions of linear elliptic systems of partial differential equations, Comm. Pure Appl. Math., Vol. 10, 1957, pp. 271–290. Citing Literature Volume11, Issue2May 1958Pages 153-174 ReferencesRelatedInformation
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