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Generation of analytic semigroups by strongly elliptic operators under general boundary conditions


Author: H. Bruce Stewart
Journal: Trans. Amer. Math. Soc. 259 (1980), 299-310
MSC: Primary 35K35; Secondary 35J99, 47D05
MathSciNet review: 561838
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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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DOI: https://doi.org/10.1090/S0002-9947-1980-0561838-5
Article copyright: © Copyright 1980 American Mathematical Society