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Transactions of the American Mathematical Society

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Generation of analytic semigroups by strongly elliptic operators


Author: H. Bruce Stewart
Journal: Trans. Amer. Math. Soc. 199 (1974), 141-162
MSC: Primary 35J30; Secondary 47D05
MathSciNet review: 0358067
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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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DOI: https://doi.org/10.1090/S0002-9947-1974-0358067-4
Article copyright: © Copyright 1974 American Mathematical Society