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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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The behavior of the support of solutions of the equation of nonlinear heat conduction with absorption in one dimension
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by Barry F. Knerr PDF
Trans. Amer. Math. Soc. 249 (1979), 409-424 Request permission

Erratum: Trans. Amer. Math. Soc. 258 (1980), 539-539.

Abstract:

We consider the Cauchy problem in one space dimension for a nonlinear degenerate parabolic partial differential equation. The connectedness of the support of the solution and estimates of the growth of the support as $t \to \infty$ are established.
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Additional Information
  • © Copyright 1979 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 249 (1979), 409-424
  • MSC: Primary 35K60
  • DOI: https://doi.org/10.1090/S0002-9947-1979-0525681-7
  • MathSciNet review: 525681