Some remarks on boundary value problems
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- by R. S. Freeman PDF
- Proc. Amer. Math. Soc. 16 (1965), 1253-1255 Request permission
References
- S. Agmon, A. Douglis, and L. Nirenberg, Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I, Comm. Pure Appl. Math. 12 (1959), 623–727. MR 125307, DOI 10.1002/cpa.3160120405
- Felix E. Browder, Estimates and existence theorems for elliptic boundary value problems, Proc. Nat. Acad. Sci. U.S.A. 45 (1959), 365–372. MR 132913, DOI 10.1073/pnas.45.3.365
- J.-L. Lions, Espaces intermédiaires entre espaces hilbertiens et applications, Bull. Math. Soc. Sci. Math. Phys. R. P. Roumaine (N.S.) 2(50) (1958), 419–432 (French). MR 151829 F. Riesz and B. Sz. Nagy, Leçons d’analyse fonctionnelle, Akadémiai Kiadó, Budapest, 1952.
- Martin Schechter, Coerciveness of linear partial differential operators for functions satisfying zero Dirichlet-type boundary data, Comm. Pure Appl. Math. 11 (1958), 153–174. MR 132911, DOI 10.1002/cpa.3160110202
- Martin Schechter, On the theory of differential boundary problems, Illinois J. Math. 7 (1963), 232–245. MR 197935
- Martin Schechter, Negative norms and boundary problems, Ann. of Math. (2) 72 (1960), 581–593. MR 125333, DOI 10.2307/1970230
- Martin Schechter, On $L^{p}$ estimates and regularity. I, Amer. J. Math. 85 (1963), 1–13. MR 188615, DOI 10.2307/2373179
- Martin Schechter, Coerciveness in $L^{p}$, Trans. Amer. Math. Soc. 107 (1963), 10–29. MR 146690, DOI 10.1090/S0002-9947-1963-0146690-4
Additional Information
- © Copyright 1965 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 16 (1965), 1253-1255
- MSC: Primary 34.95; Secondary 47.10
- DOI: https://doi.org/10.1090/S0002-9939-1965-0185290-4
- MathSciNet review: 0185290