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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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Generation of analytic semigroups by strongly elliptic operators under general boundary conditions
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by H. Bruce Stewart
Trans. Amer. Math. Soc. 259 (1980), 299-310
DOI: https://doi.org/10.1090/S0002-9947-1980-0561838-5

Abstract:

Strongly elliptic operators are shown to generate analytic semigroups of evolution operators in the topology of uniform convergence, when realized under general boundary conditions on (possibly) unbounded domains. An application to the existence and regularity of solutions to parabolic initial-boundary value problems is indicated.
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Bibliographic Information
  • © Copyright 1980 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 259 (1980), 299-310
  • MSC: Primary 35K35; Secondary 35J99, 47D05
  • DOI: https://doi.org/10.1090/S0002-9947-1980-0561838-5
  • MathSciNet review: 561838