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Proceedings of the American Mathematical Society

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A generalized Lax-Milgram theorem

Author: Edward M. Landesman
Journal: Proc. Amer. Math. Soc. 19 (1968), 339-344
MSC: Primary 46.15; Secondary 35.00
MathSciNet review: 0226375
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  • [1] Magnus R. Hestenes, Applications of the theory of quadratic forms in Hilbert space to the calculus of variations, Pacific J. Math. 1 (1951), 525–581. MR 0046590
  • [2] Edward M. Landesman, Hilbert-space methods in elliptic partial differential equations, Pacific J. Math. 21 (1967), 113–131. MR 0209911
  • [3] P. D. Lax and A. N. Milgram, Parabolic equations, Contributions to the theory of partial differential equations, Annals of Mathematics Studies, no. 33, Princeton University Press, Princeton, N. J., 1954, pp. 167–190. MR 0067317
  • [4] Peter D. Lax, On Cauchy’s problem for hyperbolic equations and the differentiability of solutions of elliptic equations, Comm. Pure Appl. Math. 8 (1955), 615–633. MR 0078558

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Article copyright: © Copyright 1968 American Mathematical Society