Bulletin of the American Mathematical Society

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ISSN 1088-9485(e) ISSN 0273-0979(p)

Solution of the Dirichlet problem for equations not necessarily strongly elliptic

Author(s): Martin Schechter
Journal: Bull. Amer. Math. Soc. 64 (1958), 371-372.
MathSciNet review: 0171071
Retrieve article in: PDF

1.: F. E. Browder, On the regularity properties of solutions of elliptic differential equations, Comm. Pure Appl. Math. vol. 9 (1956) pp. 351-361. MR 90740
2.: Lars Gårding, Dirichlet's problem for linear elliptic partial differential equations, Math. Scand. vol. 1 (1953) pp. 55-72. MR 64979
3.: P. D. Lax and A. N. Milgram, Parabolic equations, Annals of Mathematical Studies, no. 33, 1954, pp. 167-190. MR 67317
4.: Louis Nirenberg, Remarks on strongly elliptic partial differential equations, Comm. Pure Appl. Math. vol. 8 (1955) pp. 648-674. MR 75415
5.: Martin Schechter, On estimating elliptic partial differential operators in the L₂norm, Amer. J. Math. vol. 79 (1957) pp. 431-443. MR 88648
6.: Martin Schechter, Integral inequalities for partial differential operators and functions satisfying general boundary conditions, Comm. Pure Appl. Math. to appear in 1959. MR 141879

Additional Information:

DOI: 10.1090/S0002-9904-1958-10239-6
PII: S 0002-9904(1958)10239-6

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