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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Relation between growth and regularity of solutions of hypoelliptic equations
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by M. Shafii-Mousavi and Z. Zielezny PDF
Proc. Amer. Math. Soc. 104 (1988), 1103-1110 Request permission

Abstract:

For a class of linear partial differential equations with variable coefficients, it is shown that the Gevrey regularity of solutions depends on their growth at infinity.
References
  • I. M. Gel′fand and G. E. Shilov, Generalized functions. Vol. 2. Spaces of fundamental and generalized functions, Academic Press, New York-London, 1968. Translated from the Russian by Morris D. Friedman, Amiel Feinstein and Christian P. Peltzer. MR 0230128
  • V. V. Grušin, The connection between local and global properties of the solutions of hypo-elliptic equations with constant coefficients, Mat. Sb. (N.S.) 66 (108) (1966), 525–550 (Russian). MR 0178249
  • Lars Hörmander, Linear partial differential operators, Springer-Verlag, Berlin-New York, 1976. MR 0404822
  • François Trèves, Linear partial differential equations with constant coefficients: Existence, approximation and regularity of solutions, Mathematics and its Applications, Vol. 6, Gordon and Breach Science Publishers, New York-London-Paris, 1966. MR 0224958
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Additional Information
  • © Copyright 1988 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 104 (1988), 1103-1110
  • MSC: Primary 35H05; Secondary 35B05
  • DOI: https://doi.org/10.1090/S0002-9939-1988-0929423-3
  • MathSciNet review: 929423