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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

An explicit formula for fundamental solutions of linear partial differential equations with constant coefficients


Author: Heinz König
Journal: Proc. Amer. Math. Soc. 120 (1994), 1315-1318
MSC: Primary 35E05
MathSciNet review: 1197539
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  • [1] Leon Ehrenpreis, Solution of some problems of division. I. Division by a polynomial of derivation, Amer. J. Math. 76 (1954), 883–903. MR 0068123 (16,834a)
  • [2] G. B. Folland, Lectures on partial differential equations, Tata Institute of Fundamental Research Lectures on Mathematics and Physics, vol. 70, Published for the Tata Institute of Fundamental Research, Bombay; by Springer-Verlag, Berlin, 1983. MR 696577 (85i:35001)
  • [3] L. Hörmander, Linear partial differential operators, Springer, New York, 1963.
  • [4] Lars Hörmander, The analysis of linear partial differential operators. I, Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 256, Springer-Verlag, Berlin, 1983. Distribution theory and Fourier analysis. MR 717035 (85g:35002a)
  • [5] Bernard Malgrange, Equations aux dérivées partielles à coefficients constants. I. Solution élémentaire, C. R. Acad. Sci. Paris 237 (1953), 1620–1622 (French). MR 0060112 (15,626f)
  • [6] -, Existence et approximation des solutions des équations aux dérivées partielles et des équations de convolution, Ann. Inst. Fourier (Grenoble) 6 (1955-56), 271-355.
  • [7] Jean-Pierre Rosay, A very elementary proof of the Malgrange-Ehrenpreis theorem, Amer. Math. Monthly 98 (1991), no. 6, 518–523. MR 1109574 (92e:35047), http://dx.doi.org/10.2307/2324871
  • [8] Walter Rudin, Functional analysis, McGraw-Hill Book Co., New York-Düsseldorf-Johannesburg, 1973. McGraw-Hill Series in Higher Mathematics. MR 0365062 (51 #1315)

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1994-1197539-8
PII: S 0002-9939(1994)1197539-8
Article copyright: © Copyright 1994 American Mathematical Society