General boundary value problems for elliptic partial differential equations

Author:
Martin Schechter

Journal:
Bull. Amer. Math. Soc. **65** (1959), 70-72

DOI:
https://doi.org/10.1090/S0002-9904-1959-10279-2

MathSciNet review:
0104910

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References | Additional Information

**1.**Shmuel Agmon,*The coerciveness problem for integro-differential forms*, Technical Note No. 5, The Hebrew University, Jerusalem, 1958. MR**132912****2.**Shmuel Agmon, Avron Douglis, and Louis Nirenberg,*Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions*. I, Comm. Pure Appl. Math., to appear. MR**125307****3.**Nachman Aronszajn and A. N. Milgram,*Differential operators on Riemannian manifolds*, Rend. Circ. Mat. Palermo, vol. 2, Ser. 2, 1953, pp. 1-61. MR**64255****4.**F. E. Browder,*On regularity properties of solutions of elliptic differential equations*, Comm. Pure Appl. Math. vol. 9 (1956) pp. 351-361. MR**90740****5.**Lars Hörmander,*On the regularity of the solutions of boundary problems*, Acta Math. vol. 99 (1958) pp. 225-264. MR**131655****6.**P. D. Lax and A. N. Milgram,*Parabolic equations*, Contributions to The Theory of Partial Differential Equations, Annals of Mathematics Studies, no. 33, Princeton, 1954, pp. 167-190. MR**67317****7.**Louis Nirenberg,*Remarks on strongly elliptic partial differential equations*, Comm. Pure Appl. Math. vol. 8 (1955) pp. 648-674. MR**75415****8.**Martin Schechter,*Integral inequalities for partial differential operators and functions satisfying general boundary conditions*, Comm. Pure Appl. Math. vol. 12 no. 1 (1959). MR**141879****9.**Martin Schechter,*Solution of the Dirichlet problem for equations not necessarily strongly elliptic*, Bull. Amer. Math. Soc. vol. 64 (1958) pp. 371-372. MR**171071**

Additional Information

DOI:
https://doi.org/10.1090/S0002-9904-1959-10279-2