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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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Remarks concerning the supports of solutions of pseudoparabolic equations
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by William Rundell and Michael Stecher PDF
Proc. Amer. Math. Soc. 63 (1977), 77-81 Request permission

Abstract:

This paper deals with the existence of nontrivial solutions of the pseudoparabolic equation ${u_{xxt}} - {u_t} + {u_{xx}} = 0$ whose supports lie in the half spaces $t > {t_0},x > {x_0}$. In addition, we show the nonexistence of solutions whose supports lie in bounded strips in x or t.
References
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Additional Information
  • © Copyright 1977 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 63 (1977), 77-81
  • MSC: Primary 35K25
  • DOI: https://doi.org/10.1090/S0002-9939-1977-0433037-4
  • MathSciNet review: 0433037