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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 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A variant of the chain rule for differential calculus
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by Richard A. Graff
Proc. Amer. Math. Soc. 81 (1981), 155-156
DOI: https://doi.org/10.1090/S0002-9939-1981-0589161-X
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Abstract:

A version of the chain rule is developed which can be applied to the construction of solutions to quasi-linear hyperbolic partial differential equations.
References
  • J. R. Dorroh and R. A. Graff, Integral equations in Banach spaces, a general approach to the linear Cauchy problem, and applications to the nonlinear problem, J. Integral Equations 1 (1979), no. 4, 309–359. MR 550483
    • J. R. Dorroh and J. E. Marsden, Differentiability of nonlinear semigroups (unpublished). R. A. Graff, A functional analytic approach to existence and uniqueness of solutions to some nonlinear Cauchy problems (preprint).
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Bibliographic Information
  • © Copyright 1981 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 81 (1981), 155-156
  • MSC: Primary 58C20; Secondary 46G05, 47H20
  • DOI: https://doi.org/10.1090/S0002-9939-1981-0589161-X
  • MathSciNet review: 589161