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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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Boundary value problems for elliptic pseudo-differential operators
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by Kazuaki Taira
Proc. Amer. Math. Soc. 123 (1995), 2519-2528
DOI: https://doi.org/10.1090/S0002-9939-1995-1277136-7

Abstract:

The purpose of this paper is to study boundary value problems for elliptic pseudo-differential operators which originate from the problem of existence of Markov processes in probability theory. We prove existence and uniqueness theorems for these boundary value problems in the framework of Sobolev spaces. Our approach permits us to interpret sufficient conditions for the unique solvability of boundary value problems in terms of Markovian motion.
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Bibliographic Information
  • © Copyright 1995 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 123 (1995), 2519-2528
  • MSC: Primary 35S15; Secondary 35J15, 60J35, 60J60
  • DOI: https://doi.org/10.1090/S0002-9939-1995-1277136-7
  • MathSciNet review: 1277136