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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

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Approximation in uniform norm by solutions of elliptic differential equations
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by Felix E. Browder PDF
Bull. Amer. Math. Soc. 67 (1961), 400-404
References
  • Herbert Beckert, Eine bemerkenswerte Eigenschaft der Lösungen des Dirichletschen Problems bei linearen elliptischen Differentialgleichungen, Math. Ann. 139 (1960), 255–264 (1960) (German). MR 120447, DOI 10.1007/BF01352261
  • 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
  • Felix E. Browder, A continuity property for adjoints of closed operators in Banach spaces, and its application to elliptic boundary value problems, Duke Math. J. 28 (1961), 157–182. MR 185266
  • Felix E. Browder, Functional analysis and partial differential equations. I, Math. Ann. 138 (1959), 55–79. MR 107818, DOI 10.1007/BF01369666
  • A.-P. Calderón, Uniqueness in the Cauchy problem for partial differential equations, Amer. J. Math. 80 (1958), 16–36. MR 104925, DOI 10.2307/2372819
  • Donato Greco, Nuove formole integrali di maggiorazione per le soluzioni di un’equazione lineare di tipo ellittico ed applicazioni alla teoria del potenziale, Ricerche Mat. 5 (1956), 126–149 (Italian). MR 82030
  • Lars Hörmander, Definitions of maximal differential operators, Ark. Mat. 3 (1958), 501–504. MR 106333, DOI 10.1007/BF02589511
  • A. I. Košelev, A priori estimates in $L_{p}$ and generalized solutions of elliptic equations and systems, Uspehi Mat. Nauk 13 (1958), no. 4 (82), 29–88 (Russian). MR 0125327
  • P. D. Lax, A stability theorem for solutions of abstract differential equations, and its application to the study of the local behavior of solutions of elliptic equations, Comm. Pure Appl. Math. 9 (1956), 747–766. MR 86991, DOI 10.1002/cpa.3160090407
  • Bernard Malgrange, Existence et approximation des solutions des équations aux dérivées partielles et des équations de convolution, Ann. Inst. Fourier (Grenoble) 6 (1955/56), 271–355 (French). MR 86990, DOI 10.5802/aif.65
  • S. N. Mergelyan, Harmonic approximation and approximate solution of the Cauchy problem for the Laplace equation, Uspehi Mat. Nauk (N.S.) 11 (1956), no. 5(71), 3–26 (Russian). MR 0083672
  • Louis Nirenberg, Estimates and existence of solutions of elliptic equations, Comm. Pure Appl. Math. 9 (1956), 509–529. MR 91402, DOI 10.1002/cpa.3160090322
Additional Information
  • Journal: Bull. Amer. Math. Soc. 67 (1961), 400-404
  • DOI: https://doi.org/10.1090/S0002-9904-1961-10640-X
  • MathSciNet review: 0158154