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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Semilinear evolution equations in Banach spaces with application to parabolic partial differential equations
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by Samuel M. Rankin PDF
Trans. Amer. Math. Soc. 336 (1993), 523-535 Request permission

Abstract:

A theory for a class of semilinear evolution equations in Banach spaces is developed which when applied to certain parabolic partial differential equations with nonlinear terms in divergence form gives strong solutions even for nondifferentiable data.
References
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Additional Information
  • © Copyright 1993 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 336 (1993), 523-535
  • MSC: Primary 34G20; Secondary 35K55, 47H20
  • DOI: https://doi.org/10.1090/S0002-9947-1993-1052911-5
  • MathSciNet review: 1052911