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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
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by H. Bruce Stewart
Trans. Amer. Math. Soc. 199 (1974), 141-162
DOI: https://doi.org/10.1090/S0002-9947-1974-0358067-4

Abstract:

Strongly elliptic operators realized under Dirichlet boundary conditions in unbounded domains are shown to generate analytic semigroups in the topology of uniform convergence. This fact is applied to initial-boundary value problems for temporally homogeneous and temporally inhomogeneous parabolic equations.
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Bibliographic Information
  • © Copyright 1974 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 199 (1974), 141-162
  • MSC: Primary 35J30; Secondary 47D05
  • DOI: https://doi.org/10.1090/S0002-9947-1974-0358067-4
  • MathSciNet review: 0358067