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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 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Equivalence of variational inequalities with Wiener-Hopf equations
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by Peter Shi
Proc. Amer. Math. Soc. 111 (1991), 339-346
DOI: https://doi.org/10.1090/S0002-9939-1991-1037224-3
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Abstract:

We show that a variational inequality is equivalent to a generalized Wiener-Hopf equation in the sense that, if one of them has a solution so does the other one. Moreover, their solutions can be transformed to each other by a simple formula. Applications are considered.
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Bibliographic Information
  • © Copyright 1991 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 111 (1991), 339-346
  • MSC: Primary 35L85; Secondary 35R20, 47H19, 49J40
  • DOI: https://doi.org/10.1090/S0002-9939-1991-1037224-3
  • MathSciNet review: 1037224