Solution of the Dirichlet problem for equations not necessarily strongly elliptic
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- by Martin Schechter PDF
- Bull. Amer. Math. Soc. 64 (1958), 371-372
References
- Felix E. Browder, On the regularity properties of solutions of elliptic differential equations, Comm. Pure Appl. Math. 9 (1956), 351–361. MR 90740, DOI 10.1002/cpa.3160090307
- Lars Gårding, Dirichlet’s problem for linear elliptic partial differential equations, Math. Scand. 1 (1953), 55–72. MR 64979, DOI 10.7146/math.scand.a-10364
- 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
- Louis Nirenberg, Remarks on strongly elliptic partial differential equations, Comm. Pure Appl. Math. 8 (1955), 649–675. MR 75415, DOI 10.1002/cpa.3160080414
- Martin Schechter, On estimating elliptic partial differential operators in the $L_2$ norm, Amer. J. Math. 79 (1957), 431–443. MR 88648, DOI 10.2307/2372690
- Martin Schechter, Integral inequalities for partial differential operators and functions satisfying general boundary conditions, Comm. Pure Appl. Math. 12 (1959), 37–66. MR 141879, DOI 10.1002/cpa.3160120104
Additional Information
- Journal: Bull. Amer. Math. Soc. 64 (1958), 371-372
- DOI: https://doi.org/10.1090/S0002-9904-1958-10239-6
- MathSciNet review: 0171071