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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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Harnack-type inequalities for evolution equations
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by Giles Auchmuty and David Bao PDF
Proc. Amer. Math. Soc. 122 (1994), 117-129 Request permission

Abstract:

Here we derive Harnack inequalities for nonnegative solutions of the porous medium equation and the p-diffusion equation. The method applies to functions obeying certain a priori evolution inequalities. The proofs are based on optimizing inequalities for the convective derivative of the function along a path.
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Additional Information
  • © Copyright 1994 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 122 (1994), 117-129
  • MSC: Primary 35K22; Secondary 35B45, 35Q40
  • DOI: https://doi.org/10.1090/S0002-9939-1994-1219716-X
  • MathSciNet review: 1219716