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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 2024 MCQ for Transactions of the American Mathematical Society is 1.48 .

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A priori estimates and unique continuation theorems for second order parabolic equations
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by Raymond Johnson
Trans. Amer. Math. Soc. 158 (1971), 167-177
DOI: https://doi.org/10.1090/S0002-9947-1971-0277897-8

Abstract:

It is shown that solutions of second-order linear parabolic equations subject to global constraint satisfy an a priori estimate which has among its consequences that if a solution of such an equation vanishes on the characteristic $t = T$ and satisfies the global constraint, it vanishes identically.
References
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Bibliographic Information
  • © Copyright 1971 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 158 (1971), 167-177
  • MSC: Primary 35.62
  • DOI: https://doi.org/10.1090/S0002-9947-1971-0277897-8
  • MathSciNet review: 0277897