Remote Access Transactions of the American Mathematical Society
Green Open Access

Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 
 

 

Normal operators and uniformly elliptic self-adjoint partial differential equations


Authors: Leo Sario and Georges Weill
Journal: Trans. Amer. Math. Soc. 120 (1965), 225-235
MSC: Primary 35.42
DOI: https://doi.org/10.1090/S0002-9947-1965-0192175-0
MathSciNet review: 0192175
Full-text PDF

References | Similar Articles | Additional Information

References [Enhancements On Off] (What's this?)

  • [1] F. Browder, Principal functions for elliptic systems of differential equations, Bull. Amer. Math. Soc. 71 (1965), 342-344. MR 0173852 (30:4060)
  • [2] R. Courant and D. Hilbert, Methods of mathematical physics, Vol. II, Interscience, New York, 1962. MR 0065391 (16:426a)
  • [3] W. Feller, Über die Lösungen der linearen partiellen Differentialgleichungen zweiter Ordnung vom elliptischen Typus, Math. Ann. 102 (1930), 633-649. MR 1512598
  • [4] G. Fichera, Alcuni recenti sviluppi della teoria dei problemi al contorno per le equazioni alle derivate parziali lineari, Convegno Internazionale sulle Equazioni Lineari alle Derivate Parziali, Trieste, 1954, pp. 174-227, Edizioni Cremonese, Rome, 1955. MR 0074665 (17:626b)
  • [5] C. Miranda, Equazioni alle derivate parziali di tipo ellittico, Springer, Berlin, 1955. MR 0087853 (19:421d)
  • [6] L. Sario, A linear operator method on arbitrary Riemann surfaces, Trans. Amer. Math. Soc. 72 (1952), 281-295. MR 0046442 (13:735c)
  • [7] -, Classification of locally Euclidean spaces, Nagoya Math. J. 25 (1965), 87-111. MR 0210885 (35:1770)
  • [8] L. Sario and N. Fukuda, Harmonic functions with given values and minimum norms in Riemannian spaces, Proc. Nat. Acad. Sci. U.S.A. 53 (1965), 270-273. MR 0205199 (34:5033)
  • [9] L. Sario, M. Schiffer and M. Glasner, The span and principal functions in Riemannian spaces, J. Analyse Math. 15 (1965), 115-134. MR 0184182 (32:1655)

Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 35.42

Retrieve articles in all journals with MSC: 35.42


Additional Information

DOI: https://doi.org/10.1090/S0002-9947-1965-0192175-0
Article copyright: © Copyright 1965 American Mathematical Society

American Mathematical Society